SOLUTION: Simplify: square root of 500

Question 86811: Simplify:
square root of 500
Found 2 solutions by stanbon, bucky:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Simplify:
square root of 500
sqrt(500) = [sqrt100]
=10 sqrt(5)
======================
cheers,
Stan H.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Since 500 is an even number you know that it is divisible by 2. Therefore, you can write
it as
.
But 250 is also even and divisible by 2. So 250 can be replaced by 125 * 2. Therefore,
you can replace 500 by 125*2*2 which is equivalent to
.
Then . So if you substitute for 125 you get:
.

.
Taking the square root of all three terms in this multiplication string results in:
.

.
So the simplified form of is
.
Had you recognized it earlier, you could have written:
.

.
much quicker, but not as much practice as the long way.
.
Hope this helps you to see how square root problems such as this one can be simplified.
.

RELATED QUESTIONS
Simplify square root... (answered by rapaljer)
how do i simplify the square root of 500 x to second... (answered by macston)
Simplify: square root of... (answered by Nate)
simplify: square root of... (answered by bucky)
simplify square root of... (answered by jim_thompson5910)
Simplify: square root of... (answered by nabla)
Simplify square root of... (answered by checkley77,rapaljer)
simplify square root of 343 (answered by rfer)
simplify square root of... (answered by checkley79)