Chapter 9: Q 9.98. (page 1070)

Simplify: $(a) (3 \sqrt{7}) (10 \sqrt{7}) (b) {(- 4 \sqrt{6})}^{2}$

Short Answer

Expert verified

Part $(a) 210$

Part $(b) 96$

Step by step solution

Part (a) Step 1. Given information.

The given square root is $(3 \sqrt{7}) (10 \sqrt{7})$ .

Part (a) Step 2. Simplify the given root.

$(3 \sqrt{7}) (10 \sqrt{7}) = 3 \cdot 10 \cdot 7 = 210$

Part (b) Step 1. Given information.

The given square root is ${(- 4 \sqrt{6})}^{2}$ .

Part (b) Step 2. Simplify the given root.

${(- 4 \sqrt{6})}^{2} = {(4 \sqrt{6})}^{2} = 4^{2} {(\sqrt{6})}^{2} = 16 {(\sqrt{6})}^{2} = 16 \cdot 6 = 96$

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Simplify: $(a) (3 \sqrt{7}) (10 \sqrt{7}) (b) {(- 4 \sqrt{6})}^{2}$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the given root.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the given root.

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Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the given root.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the given root.

One App. One Place for Learning.

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Simplify: $(a) (3 \sqrt{7}) (10 \sqrt{7}) (b) {(- 4 \sqrt{6})}^{2}$