Question

1. $2sqrt{128}$
2. $-4sqrt{320}$
3. $2sqrt{192}$

Explanation:

Step1: Factor radicand into perfect square

$2\sqrt{128}=2\sqrt{64\times2}$

Step2: Simplify the square root

$2\times\sqrt{64}\times\sqrt{2}=2\times8\times\sqrt{2}$

Step3: Multiply the coefficients

$16\sqrt{2}$

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Step1: Factor radicand into perfect square

$-4\sqrt{320}=-4\sqrt{64\times5}$

Step2: Simplify the square root

$-4\times\sqrt{64}\times\sqrt{5}=-4\times8\times\sqrt{5}$

Step3: Multiply the coefficients

$-32\sqrt{5}$

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Step1: Factor radicand into perfect square

$2\sqrt{192}=2\sqrt{64\times3}$

Step2: Simplify the square root

$2\times\sqrt{64}\times\sqrt{3}=2\times8\times\sqrt{3}$

Step3: Multiply the coefficients

$16\sqrt{3}$

Answer:

1. $16\sqrt{2}$
2. $-32\sqrt{5}$
3. $16\sqrt{3}$