Question

What is the square root of 12 squared?​

Answer 1

Hello!

The answer is: 12.

Why?

Squaring means elevating the number by two, it means that the number will be mulitplied by itself two times. On the opposite, the square root of a number is the number that squared or elevated by two gives as result that number.

We must remember that:

$\sqrt[n]{a^{m} }=a^{\frac{m}{n} }\\\\\sqrt{a}=a^{\frac{1}{2}}$

and,

$\sqrt{a^{2} }=a^{\frac{2}{2}}=a$

Then, the square root of 12 square is:

$\sqrt{12^{2} }=12^{\frac{2}{2}}=12^{1}=12$

Hence, the square root of 12 squared, is 12.

Have a nice day!

Answer 2

Answer:

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