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Question concerning simplification of numerical expression with square roots.

shamieh

Active member
Sep 13, 2013
539
how does \(\displaystyle \frac{5700}{\sqrt{15,300}}\) turn into \(\displaystyle \frac{570}{\sqrt{153}}\) ??
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,191
how does \(\displaystyle \frac{5700}{\sqrt{15,300}}\) turn into \(\displaystyle \frac{570}{\sqrt{153}}\) ??
$$\frac{5700}{\sqrt{15,300}}=\frac{5700}{\sqrt{153 \cdot 100}}
=\frac{5700}{\sqrt{153} \sqrt{100}}=\frac{5700}{10\sqrt{153}}
=\frac{570}{\sqrt{153}}.$$