Please help me solve the following roots...

Question

anonymous · Answer

$$\sqrt{16}$$

anonymous · Answer

What number multiplied by itself is 16?

anonymous · Answer

4

anonymous · Answer

Here is the next one. 
$$\sqrt{36}$$

anonymous · Answer

Oops the answer for that one is 6! Here is the next one... $$\sqrt{12}$$

anonymous · Answer

3.46410161514

anonymous · Answer

I know for a fact that is not the answer.

anonymous · Answer

lol i thought that also when i used a calculater and google

anonymous · Answer

lol

anonymous · Answer

Calculators can only give you approximations..
You have to do the math yourself to get an exact value.
For √12, note that it is equal to √(4∙3)

anonymous · Answer

So the answer is $$2\sqrt{3}$$

anonymous · Answer

You got it!

anonymous · Answer

When in doubt, factor!

anonymous · Answer

Yay! Can you help me with

anonymous · Answer

$$\sqrt{32}$$

anonymous · Answer

Factor!

anonymous · Answer

So it is a number multiplified by itself?

anonymous · Answer

No, 32 is not a perfect square; you have to factor it to find the perfect squares hidden inside it. Break it down as far as you can go.

anonymous · Answer

Ok. Hmm.

anonymous · Answer

2x2x2x2=$$2\sqrt{6}$$

anonymous · Answer

Not quite. 32 = 2×2×2×2×2

anonymous · Answer

Oh so it is $$2\sqrt{8}$$

anonymous · Answer

Or, it might be easier to see as √32 = √(16×2)

anonymous · Answer

Yes, but 8=4×2, so there is another square to pull out.

anonymous · Answer

Oh. So the answer is this.
$$4\sqrt{2}$$

anonymous · Answer

Indeed, and if you want to check these on a calculator you can compare 4×√2 with √32 to see they have the same decimal approximation.

anonymous · Answer

So how would i find a square root on a calculator?

anonymous · Answer

Depends on the calculator, but most have straight-forward notation: you hit the √ button, then the number, then enter/=.

anonymous · Answer

Awesomeness! Thank you so much! You have helped me so much! I am coming to you if I need any more help! :D

anonymous · Answer

You can use the Google search bar as a calculator also. Type in "square root of 32" and it'll display the answer for you.

anonymous · Answer

You're welcome. Oh, and in case you encounter any square-roots of fractions sometime soon, remember that 
$$\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$$