Chapter 9: Q2. (page 484)

Explain how to use the product property of square roots to simplify the expression $\sqrt{700}$ .

Short Answer

Expert verified

The simplified value is $10 \sqrt{7}$ .

Step by step solution

Step 1. Given Information.

The given expression is $\sqrt{700}$ .

Step 2. Calculation.

According to the Product Property of square roots,

$\sqrt{a b} = \sqrt{a} \times \sqrt{b}$

The given term can be simplified by using the Product Property of square roots as:

$\begin{matrix} \sqrt{700} = \sqrt{7} \times \sqrt{100} \\ = \sqrt{7} \times {(10^{2})}^{\frac{1}{2}} \\ = \sqrt{7} \times 10 \\ = 10 \sqrt{7} \end{matrix}$

Step 3. Conclusion.

The simplified value of the given expression is $10 \sqrt{7}$ .

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Explain how to use the product property of square roots to simplify the expression $\sqrt{700}$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Explain how to use the product property of square roots to simplify the expression700.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Geometry

Pure Maths

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Explain how to use the product property of square roots to simplify the expression $\sqrt{700}$ .