Question

Can some help me understand how i would go about solving a question like 3sqrt56^2

Answer 1

Do you need to simplify? 3 sqrt 56^2 is just a number, but you can simplify...

Answer 2

Thats the thing i'm not sure how to simplify this

Answer 3

Just to be clear, how much is under the square root?
Is it like:\[3\sqrt{56^{2}}\]
or
\[(3\sqrt{56})^{2}\]
or something else? You can draw it if it's easier than using the equation tool.

Answer 4

>.< Sorry i typed it wrong it's 15^14 and its in the form of the first one.

Answer 5

-_- im still stupid 56^14

Answer 6

So,\[3 \times \sqrt{56^{14}}\]

Answer 7

Yes, it is

Answer 8

Ok, good... just wanted to make sure we were talking about the same thing :)

To simplify, notice that under the square root,
56^14 is like 56 * 56 * 56. * etc... right, fourteen repeats of multiplying the 56's?

so it could be thought as seven pairs of 56's multiplied...

(56*56) * (56*56) * (56*56) * (56*56) * (56*56) * (56*56) * (56*56)

Does that make sense so far?

Answer 9

Yes Sir!

Answer 10

Great :)

For each one of those (56*56) terms, when you take the square root, the result is 56.

you have (56*56)^7 under the square root, so for each of those seven terms, when you simplify, 56 comes out from the square root.

Answer 11

I'm with you still.

Answer 12

Ok good