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Question 167326: square root of 600
Answer by midwood_trail(310)   (Show Source):
You can put this solution on YOUR website! 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}).
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