Chapter 9: Q.335 (page 1090)

Simplify Expressions -
$\frac{\sqrt{320 m n^{5}}}{\sqrt{45 m^{7} n^{3}}}$

Short Answer

Expert verified

The simplification of Expression will be - $\frac{8 n}{3 m^{3}}$

Step by step solution

Step 1. Given Data

Expressions -

$\frac{\sqrt{320 m n^{5}}}{\sqrt{45 m^{7} n^{3}}}$

Step 2. To Find

Simplify The Expressions

Step 3. Explanation

Expressions - $\frac{\sqrt{320 m n^{5}}}{\sqrt{45 m^{7} n^{3}}}$

Neither radicand is a perfect square, so rewrite using the quotient property of square roots -

$\frac{\sqrt{320 m n^{5}}}{\sqrt{45 m^{7} n^{3}}} \sqrt{\frac{320 m n^{5}}{45 m^{7} n^{3}}}$

Step 4. Calculation

Remove common factors in the numerator and denominator.

$\sqrt{\frac{320 m n^{5}}{45 m^{7} n^{3}}} \sqrt{\frac{64 \times 5 \times m \times n^{3} \times n^{2}}{5 \times 9 \times m \times m^{6} \times n^{3}}} \sqrt{\frac{64 n^{2}}{9 m^{6}}}$

simplify-

$\sqrt{\frac{64 n^{2}}{9 m^{6}}} \frac{8 n}{3 m^{3}}$

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Simplify Expressions -
$\frac{\sqrt{320 m n^{5}}}{\sqrt{45 m^{7} n^{3}}}$

Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

Step 4. Calculation

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Simplify Expressions -320mn545m7n3

Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

Step 4. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify Expressions -
$\frac{\sqrt{320 m n^{5}}}{\sqrt{45 m^{7} n^{3}}}$