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How do you simplify #sqrt(72/9)#?

1 Answer

Oct 3, 2015

#sqrt(72/9) = 2sqrt(2)#

Explanation:

We know #72 = 9*8# so we can rewrite that as

#sqrt(72/9) = sqrt((9*8)/9) = sqrt(8)#

We know that #8 = 4*2# and that #sqrt(4) = 2# thus, we can rewrite and solve this as

#sqrt(72/9) = 2sqrt(2)#

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