Question

What is the square root of 25x10^12

Answer 1

`\sqrt{25 * 10^(12) }`

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

`\sqrt{25 * 10^(12) } = √(25) * \sqrt{10^(12)}`

Let us find the square roots of both radicals seprately.

`√(25) =√(5*5)=5`

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

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

`√(10*10*10*10*10*10*10*10*10*10*10*10) = 10*10*10*10*10*10`

`= 10^6.`

Therefore,

`\sqrt{25 * 10^(12) }=√(25) * \sqrt{10^(12)}={5 * 10^6}`

`\sqrt{25 * 10^(12) } = {5 * 10^6}`