(a) Work Out $\sqrt{\frac{13.82}{4.06}}$.Write Down All The Figures On Your Calculator Display.Give Your Answer To Part (a) Correct To 2 Decimal Places.

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Introduction

In this article, we will explore how to solve square roots on a calculator, specifically for the expression 13.824.06\sqrt{\frac{13.82}{4.06}}. We will also discuss how to display the figures on the calculator and provide the answer to the problem correct to 2 decimal places.

Step 1: Enter the Expression

To solve the square root of a fraction on a calculator, we need to enter the expression in the correct order. In this case, we need to divide 13.82 by 4.06 first, and then take the square root of the result.

Using a Calculator

To enter the expression on a calculator, we can follow these steps:

  1. Enter the numerator (13.82) and press the division key (/).
  2. Enter the denominator (4.06) and press the equals key (=) to perform the division.
  3. Take the square root of the result by pressing the square root key (√).

Displaying Figures on the Calculator

When we enter the expression on a calculator, we need to display the figures on the display. This will help us to ensure that we have entered the expression correctly and that the calculator is performing the calculations correctly.

Calculating the Square Root

Now that we have entered the expression on the calculator, we can calculate the square root of the result.

Using a Scientific Calculator

To calculate the square root of a fraction on a scientific calculator, we can follow these steps:

  1. Enter the numerator (13.82) and press the division key (/).
  2. Enter the denominator (4.06) and press the equals key (=) to perform the division.
  3. Take the square root of the result by pressing the square root key (√).

Using a Graphing Calculator

To calculate the square root of a fraction on a graphing calculator, we can follow these steps:

  1. Enter the numerator (13.82) and press the division key (/).
  2. Enter the denominator (4.06) and press the equals key (=) to perform the division.
  3. Take the square root of the result by pressing the square root key (√).

Answer to Part (a)

The answer to part (a) is the square root of the result of the division, which is:

13.824.06=1.31\sqrt{\frac{13.82}{4.06}} = \boxed{1.31}

Conclusion

In this article, we have explored how to solve square roots on a calculator, specifically for the expression 13.824.06\sqrt{\frac{13.82}{4.06}}. We have discussed how to enter the expression on a calculator, display the figures on the display, and calculate the square root of the result. We have also provided the answer to part (a) correct to 2 decimal places.

Tips and Variations

  • To solve square roots on a calculator, make sure to enter the expression in the correct order.
  • To display the figures on the calculator, press the display key (usually labeled as "VIEW" or "DISPLAY").
  • To calculate the square root of a fraction on a scientific calculator, use the square root key (√).
  • To calculate the square root of a fraction on a graphing calculator, use the square root key (√).

Common Mistakes

  • Entering the expression in the wrong order.
  • Not displaying the figures on the calculator.
  • Not using the square root key (√) to calculate the square root of the result.

Real-World Applications

Solving square roots on a calculator has many real-world applications, such as:

  • Calculating the area of a square or rectangle.
  • Finding the length of a side of a square or rectangle.
  • Determining the volume of a cube or rectangular prism.

Further Reading

For more information on solving square roots on a calculator, see the following resources:

Introduction

In our previous article, we explored how to solve square roots on a calculator, specifically for the expression 13.824.06\sqrt{\frac{13.82}{4.06}}. We discussed how to enter the expression on a calculator, display the figures on the display, and calculate the square root of the result. In this article, we will answer some frequently asked questions about solving square roots on a calculator.

Q: What is the difference between a scientific calculator and a graphing calculator?

A: A scientific calculator is a type of calculator that is designed to perform scientific calculations, such as trigonometry, logarithms, and square roots. A graphing calculator, on the other hand, is a type of calculator that is designed to graph functions and perform advanced mathematical calculations.

Q: How do I enter a square root on a calculator?

A: To enter a square root on a calculator, you need to press the square root key (√) and then enter the number inside the square root. For example, to enter the square root of 16, you would press the √ key and then enter 16.

Q: How do I display the figures on a calculator?

A: To display the figures on a calculator, you need to press the display key (usually labeled as "VIEW" or "DISPLAY"). This will show you the current value on the calculator.

Q: Can I use a calculator to solve square roots of negative numbers?

A: Yes, you can use a calculator to solve square roots of negative numbers. However, you need to use the imaginary unit (i) to represent the square root of -1. For example, to find the square root of -16, you would enter √(-16) and press the calculate key.

Q: How do I calculate the square root of a fraction on a calculator?

A: To calculate the square root of a fraction on a calculator, you need to enter the numerator and denominator of the fraction, and then press the square root key (√). For example, to find the square root of 1/4, you would enter 1/4 and press the √ key.

Q: Can I use a calculator to solve square roots of decimals?

A: Yes, you can use a calculator to solve square roots of decimals. However, you need to make sure that the calculator is set to decimal mode. For example, to find the square root of 0.25, you would enter 0.25 and press the √ key.

Q: How do I round the answer to a specific number of decimal places on a calculator?

A: To round the answer to a specific number of decimal places on a calculator, you need to press the round key (usually labeled as "ROUND" or "DECIMAL"). This will round the answer to the specified number of decimal places.

Q: Can I use a calculator to solve square roots of very large or very small numbers?

A: Yes, you can use a calculator to solve square roots of very large or very small numbers. However, you need to make sure that the calculator is set to the correct mode (e.g. scientific mode or engineering mode). For example, to find the square root of 10^10, you would enter 10^10 and press the √ key.

Conclusion

In this article, we have answered some frequently asked questions about solving square roots on a calculator. We hope that this article has been helpful in clarifying any confusion you may have had about using a calculator to solve square roots.

Tips and Variations

  • Make sure to enter the expression in the correct order when using a calculator to solve square roots.
  • Use the display key to show the current value on the calculator.
  • Use the round key to round the answer to a specific number of decimal places.
  • Use the scientific mode or engineering mode to solve square roots of very large or very small numbers.

Common Mistakes

  • Entering the expression in the wrong order.
  • Not displaying the figures on the calculator.
  • Not using the round key to round the answer to a specific number of decimal places.

Real-World Applications

Solving square roots on a calculator has many real-world applications, such as:

  • Calculating the area of a square or rectangle.
  • Finding the length of a side of a square or rectangle.
  • Determining the volume of a cube or rectangular prism.

Further Reading

For more information on solving square roots on a calculator, see the following resources: