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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