How do you simplify sqrt10 times sqrt6?

1 Answer
Jim G.
Feb 4, 2016

2sqrt15

Explanation:

using the following facts about radicals:

sqrta xxsqrtb = sqrtab hArr sqrtab = sqrta xx sqrtb

and sqrta xx sqrta = a

look for the factors of 10 and 6 , particularly 'squares'

factors of 10 are 1,2,5,10 and factors of 6 are 1,2,3,6 . Apart from 1 there are no squares and so

sqrt10 =sqrt2 xxsqrt5 color(black)(" and ") sqrt6 = sqrt2 xxsqrt3

rArr sqrt10 xxsqrt6 = sqrt2 xxsqrt2 xxsqrt3 xxsqrt5

using the above facts simplifies to 2sqrt15

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