How do you simplify square root of 10 times square root of 8?

1 Answer
Alan P.
Oct 9, 2015

#sqrt(10)xxsqrt(8)=4sqrt(5)#

Explanation:

#color(red)(sqrt(10))xxcolor(blue)(sqrt(8))#

#color(white)("XX")=color(red)(sqrt(2)*sqrt(5))xxcolor(blue)(sqrt(2)*sqrt(2)^2)#

#color(white)("XX")=color(red)(sqrt(2))*color(blue)(sqrt(2)*2)*color(red)(sqrt(5))#

#color(white)("XX")=2*color(blue)(2)*color(red)(sqrt(5))#

#color(white)("XX")=4sqrt(5)#

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