Question

What is the square root of 25x10^12

Answer 1

$\sqrt{25 \times 10^{12} }$

In order to find it's square root, we could make it into two square roots.

$\sqrt{25 \times 10^{12} } = \sqrt{25} \times \sqrt{10^{12}}$

Let us find the square roots of both radicals seprately.

$\sqrt{25} =\sqrt{5*5}=5$

Each  pair  of a number inside square root gives a number out .

$\sqrt{10^{12}} = \sqrt{10*10*10*10*10*10*10*10*10*10*10*10} \ \ ( \ makes \ 6 \ pairs \ of \ 10 )$

$\sqrt{10*10*10*10*10*10*10*10*10*10*10*10} = 10*10*10*10*10*10$

$= 10^6.$

Therefore,

$\sqrt{25 \times 10^{12} }=\sqrt{25} \times \sqrt{10^{12}}={5 \times 10^6}$

$\sqrt{25 \times 10^{12} } = {5 \times 10^6}$