Chapter 9: Q 9.92. (page 1068)

Simplify: $(a) (\sqrt{6 x^{5}}) (\sqrt{2 x}) (b) (\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Short Answer

Expert verified

Part (a) $2 x^{3} \sqrt{3}$

Part (b) $6 y^{3} \sqrt{y}$

Step by step solution

Part (a) Step 1. Given information.

The given expression is:

$(\sqrt{6 x^{5}}) (\sqrt{2 x})$

Part (a) Step 2. Simplify the expression.

$(\sqrt{6 x^{5}}) (\sqrt{2 x})$

Multiply using the product property,

$\sqrt{12 x^{6}}$

Simplify the radical,

$\sqrt{4 x^{6}} \cdot \sqrt{3}$

Simplify,

$2 x^{3} \sqrt{3}$

Part (b) Step 1. Given information.

The given expression is:

$(\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Part (b) Step 2. Simplify the expression.

$(\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Multiply using the product property,

$\sqrt{36 y^{7}}$

Simplify the radical,

$\sqrt{36 y^{6}} \cdot \sqrt{y}$

Simplify,

$6 y^{3} \sqrt{y}$

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Simplify: $(a) (\sqrt{6 x^{5}}) (\sqrt{2 x}) (b) (\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the expression.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the expression.

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Simplify: a6x52xb12y23y5

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the expression.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the expression.

One App. One Place for Learning.

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Simplify: $(a) (\sqrt{6 x^{5}}) (\sqrt{2 x}) (b) (\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$