Question #14172

1 Answer
Teun
Jan 23, 2018

#(2sqrt2 *(1+sqrt(3x)))/(1-3x)#

Explanation:

This is very confusing first of, the way you asked the question. So here is what I interpreted:

Simplify, #sqrt8 / (1-sqrt(3x))#.

When simplifying we want to remove roots from the denominator. We can do this by multiplying the fraction as a whole by the denominator's conjugate: #1+sqrt(3x)#.

So, #sqrt8 / (1-sqrt(3x)) * (1+sqrt(3x))/(1+sqrt(3x)) = (sqrt8 *(1+sqrt(3x)))/(1-3x)#

Further simplification, #(2sqrt2 *(1+sqrt(3x)))/(1-3x)#

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