Chapter 9: Q. 9.86 (page 1062)

Simplify: $3 \sqrt{18 x^{2}} - 6 x \sqrt{32} + 2 \sqrt{50 x^{2}}$

Short Answer

Expert verified

The solution is $- 5 x \sqrt{2} .$

Step by step solution

Step 1. Given information

Roots: $3 \sqrt{18 x^{2}} - 6 x \sqrt{32} + 2 \sqrt{50 x^{2}}$

Step 2. Calculation

We have,

$3 \sqrt{18 x^{2}} - 6 x \sqrt{32} + 2 \sqrt{50 x^{2}} = 3 \sqrt{9 x^{2}} \cdot \sqrt{2} - 6 x \sqrt{16} \cdot \sqrt{2} + 2 \sqrt{25 x^{2}} \cdot \sqrt{2} = 3 \cdot 3 x \cdot \sqrt{2} - 6 x \cdot 4 \cdot \sqrt{2} + 2 \cdot 5 x \cdot \sqrt{2} = 9 x \sqrt{2} - 24 x \sqrt{2} + 10 x \sqrt{2} = - 5 x \sqrt{2}$

Therefore, the solution is $- 5 x \sqrt{2} .$

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Simplify: $3 \sqrt{18 x^{2}} - 6 x \sqrt{32} + 2 \sqrt{50 x^{2}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Simplify: $3 \sqrt{18 x^{2}} - 6 x \sqrt{32} + 2 \sqrt{50 x^{2}}$