Simplifying Square Roots?

Question

I need to know how to simplify the square root of 50

Answer 1

Break 50 into the product of the biggest square you can come up with, and another number.

(It would actually be even greater to break it into the product of two squares, but that's not going to happen this time.)

In this case, it's 25*2

Sqrt(25*2) = Sqrt(25)Sqrt(2) = 5Sqrt(2).

Easy, right?

Answer 2

To simplify square root you need to find the largest square factor of that root. So:

50 has a square factor of 25.

Now we rewrite the original square root as the product of two roots:

sqrt(50) = sqrt(25) * sqrt(2)

Then we simplify:

sqrt(25) * sqrt(2) = 5sqrt(2)

Answer 3

It has a lot to do with knowing (by heart) what square of many numbers. To start, you can memorize the square of 1 though 12.

Let's say you know 5*5 = 25. By this, you know 50 divides cleanly (no remainder) by 25. So 50/25= 2

Therefore 5 sqrt(2)

Answer 4

sqrt(50
=sqrt(2*25))
=5sqrt(2) ANS.