How do you simplify $\frac{\sqrt{12}}{\sqrt{50}} - \frac{\sqrt{27}}{\sqrt{8}}$ $sqrt(12) / sqrt(50) - sqrt(27) / sqrt(8)$ ?

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Answer 1 · 2016-01-24T23:57:41

First, try to write the two expressions over equal denominators.

$\frac{\sqrt{12}}{\sqrt{50}}$ $sqrt(12) / sqrt(50)$ - $\frac{\sqrt{27}}{\sqrt{8}}$ $sqrt(27)/sqrt(8)$

= $\frac{2 \sqrt 3}{5 \sqrt 2}$ $(2√3) / (5√2)$ - $\frac{3 \sqrt 3}{2 \sqrt 2}$ $(3√3)/(2√2)$

= $\frac{4 \sqrt 3 - 15 \sqrt 3}{10 \sqrt 2}$ $(4√3 - 15√3) / (10√2)$

= $\frac{- 11 \sqrt 3}{10 \sqrt 2}$ $(-11√3)/(10√2)$

So, = $\frac{- 11 \sqrt 3}{10 \sqrt 2}$ $(-11√3)/(10√2)$ is your answer

Practice exercise:

$\frac{\sqrt 20}{\sqrt 252}$ $(√20) / (√252)$ - $\frac{\sqrt 80}{\sqrt 112}$ $(√80) / (√112)$

Hopefully you understand now!

How do you simplify √12√50−√27√8 sqrt(12) / sqrt(50) - sqrt(27) / sqrt(8)?