How do you simplify $\sqrt{300}$ $sqrt300$ ?

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Answer 1 · 2015-07-13T02:27:05

Try to factorise $300$ $300$ and see if there are any squares in it.

It's easy to see that $300 = 3 \cdot 100 = 3 \cdot 10^{2}$ $300=3*100=3*10^2$

Now we can take the $10^{2}$ $10^2$ outside the root:

$= \sqrt{3 \cdot 10^{2}} = \sqrt{10^{2}} \cdot \sqrt{3} = 10 \sqrt{3}$ $=sqrt(3*10^2)=sqrt(10^2)*sqrt3=10sqrt3$

How do you simplify √300sqrt300?