Question concerning simplification of numerical expression with square roots.

shamieh

Active member
how does $$\displaystyle \frac{5700}{\sqrt{15,300}}$$ turn into $$\displaystyle \frac{570}{\sqrt{153}}$$ ??

Ackbach

Indicium Physicus
Staff member
how does $$\displaystyle \frac{5700}{\sqrt{15,300}}$$ turn into $$\displaystyle \frac{570}{\sqrt{153}}$$ ??
$$\frac{5700}{\sqrt{15,300}}=\frac{5700}{\sqrt{153 \cdot 100}} =\frac{5700}{\sqrt{153} \sqrt{100}}=\frac{5700}{10\sqrt{153}} =\frac{570}{\sqrt{153}}.$$