# algebra 1

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simplifying radical expressions
the square root of sixty

• algebra 1 -

We have:

sqrt{60} =

We have to break the radicand down (our 60).

What two numbers (one of them must be a perfect square) multiplied together will produce 60?

How about sqrt{4} times sqrt{15}?

Yes, sqrt{4} times sqrt{15} = sqrt{60} and the sqrt{4} is a perfect square.

sqrt{60} = 2 times sqrt{15}

Where did 2 come from?

sqrt{4} = 2, right?

We cannot break the sqrt{15} anymore because it is already in lowest terms.

Final answer:

2(sqrt{15}), which is read:

"two times the square root of fifthteen."

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