What is the square root of 10 times the square root of 35?

1 Answer
Alan P.
Sep 17, 2015

#sqrt(10)xxsqrt(35)=5sqrt(14)#

Explanation:

#color(red)(sqrt(10) =sqrt(2)xxsqrt(5))#

#color(blue)(sqrt(35) = sqrt(5)xxsqrt(7))#

#sqrt(10)xxsqrt(35)#

#=color(red)((sqrt(2)xxsqrt(5)))xxcolor(blue)((sqrt(5)xxsqrt(7))#

#=(color(red)(sqrt(5))xxcolor(blue)(sqrt(5)))xx(color(red) (sqrt(2))xxcolor(blue)(sqrt(7)))#

#=5xxsqrt(14)#

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