How do you solve $6 \sqrt{7} \times 6 \sqrt{3}$ $6\sqrt{7}\times 6\sqrt{3}$ ?

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Answer 1 · 2017-10-21T12:42:59

See a solution process below:

First rewrite the expression as:

$(6 \times 6) (\sqrt{7} \times \sqrt{3}) \Rightarrow$ $(6 xx 6)(sqrt(7) xx sqrt(3)) =>$

$36 (\sqrt{7} \times \sqrt{3})$ $36(sqrt(7) xx sqrt(3))$

Now use this rule for radicals to multiply the radicals together:

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

$36 (\sqrt{7} \times \sqrt{3}) \Rightarrow$ $36(sqrt(color(red)(7)) xx sqrt(color(blue)(3))) =>$

$36 \sqrt{7 \times 3} \Rightarrow$ $36sqrt(color(red)(7) xx color(blue)(3)) =>$

$36 \sqrt{21}$ $36sqrt(21)$

How do you solve 6√7×6√36\sqrt{7}\times 6\sqrt{3}?