How do you simplify sqrt 8/ sqrt3√8√3?

2 Answers
Henry A. · Stefan V.
Mar 28, 2018

To answer is this: sqrt(8)/(sqrt3)*sqrt(3)/(sqrt(3))=(sqrt8*sqrt3)/3=(sqrt24)/3√8√3⋅√3√3=√8⋅√33=√243

Explanation:

In this question, since you do not want square root functions as the divisors, you multiply the top and bottom by the square root divisor at the bottom.

In this case, sqrt(3)√3. After multiplying the top and bottom by sqrt(3)√3, you will remove the square root term from the bottom and as such getting you only 33, but the top will be sqrt 8 * sqrt 3√8⋅√3, which is sqrt 24√24.

In your final answer, it will then become sqrt(24)/ 3√243.

LM
Mar 28, 2018

(2sqrt6)/32√63

Explanation:

rationalise the denominator, by multiplying by sqrt3:√3:

(sqrt3 * sqrt8)/(sqrt3 * sqrt3)√3⋅√8√3⋅√3

= (sqrt24)/3=√243

sqrt24 = sqrt4 * sqrt6√24=√4⋅√6

= 2 * sqrt6 = 2sqrt6=2⋅√6=2√6

(sqrt24)/3 = (2sqrt6)/3√243=2√63

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