How do you simplify 10 square root 40?

1 Answer
Don't Memorise
Sep 28, 2015

=color(blue)(20sqrt10

Explanation:

Prime factorising sqrt40 we get:

sqrt(40) = sqrt(2*2*2*5)= sqrt(2^2*10) = color(blue)(2sqrt10

The expression now becomes:

10sqrt40= 10 * color(blue)(2sqrt10

=color(blue)(20sqrt10

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