Question 167326
sqrt{600} =

What two numbers when multiplied together will yield 600?  One of the numbers must be a perfect square.

How about 25 times 24?

I hope you know that 25 is a perfect square.

So, sqrt{25} = 5.

We now have 5(sqrt{24}).

What about sqrt{24}?  Is this in simplified form?

No, it is not.

Do the same thing again.

What two numbers, one of them being a perfect square, will yield 24 when multiplied together?

How about 4 times 6?

Yes, 4 times 6 = 24 and 4 is a perfect square.

So, sqrt{24} becomes 2(sqrt{6}).

We now multiply 5 by 2.

Final answer: 10(sqrt{6}).