How do you simplify $k \sqrt{2} \times k \sqrt{3}$ $ksqrt(2) times ksqrt(3)$ ?

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How do you simplify $k \sqrt{2} \times k \sqrt{3}$ $ksqrt(2) times ksqrt(3)$ ?

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Answer 1 · 2017-07-26T16:40:30

See a solution process below:

Explanation:

First, rewrite the expression as:

$(k \times k) (\sqrt{2} \times \sqrt{3} \Rightarrow k^{2} (\sqrt{2} \times \sqrt{3})$ $(k xx k)(sqrt(2) xx sqrt(3) => k^2(sqrt(2) xx sqrt(3))$

Now, use this rule for radicals to simplify the radical terms:

$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ $sqrt(color(red)(a)) * sqrt(color(blue)(b)) = sqrt(color(red)(a) * color(blue)(b))$

$k^{2} (\sqrt{2} \cdot \sqrt{3}) \Rightarrow k^{2} \sqrt{2 \cdot 3} \Rightarrow k^{2} \sqrt{6}$ $k^2(sqrt(color(red)(2)) * sqrt(color(blue)(3))) => k^2sqrt(color(red)(2) * color(blue)(3)) => k^2sqrt(6)$

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How do you simplify $k \sqrt{2} \times k \sqrt{3}$ $ksqrt(2) times ksqrt(3)$ ?

1 Answer

Explanation:

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How do you simplify $k \sqrt{2} \times k \sqrt{3}$ $ksqrt(2) times ksqrt(3)$ ?