What is #\sqrt{10}\times \sqrt{2}#?

1 Answer
Jim G.
Sep 20, 2016

#2sqrt5#

Explanation:

Using the #color(blue)" laws of radicals"#

#color(red)(bar(ul(|color(white)(a/a)color(black)(sqrtaxxsqrtbhArrsqrt(ab))color(white)(a/a)|)))#

#rArrsqrt10xxsqrt2=sqrt(10xx2)=sqrt20#

and #sqrt20=sqrt(4xx5)=sqrt4xxsqrt5=2xxsqrt5=2sqrt5#

#rArrsqrt10xxsqrt2=2sqrt5" in simplest form"#

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