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What is the square root of 16.2?

1 Answer

Sep 9, 2015

#sqrt(16.2) = (9sqrt(5))/5 ~~ 4.0249#

Explanation:

Use: #sqrt(ab) = sqrt(a)sqrt(b)# if #a, b >= 0#

and: #sqrt(a^2) = a# if #a >= 0#

#sqrt(16.2) = sqrt(81/5) = sqrt((9^2*5)/(5^2)) = sqrt(9^2/5^2)sqrt(5) = (9sqrt(5))/5 ~~ 4.0249#

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