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How do you simplify the square root of 5000?

Answer 1

Eli Assouline

It is #sqrt5000=sqrt(5*10^3)=10sqrt(2*5^2)=50*sqrt2#

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Answer 2

Jameson Allen

To simplify the square root of 5000, you can break down 5000 into its prime factors.

5000 = 2 * 2 * 2 * 5 * 5 * 5 * 5

Then, you can group the prime factors into pairs inside the square root:

√5000 = √(2 * 2 * 2 * 5 * 5 * 5 * 5) = √(2 * 2 * 5 * 5) * √(2 * 5 * 5 * 5) = 2 * 5 * √(2 * 5 * 5 * 5) = 10 * √(2 * 5^3) = 10 * √(2 * 125) = 10 * √(250) = 10 * √(2 * 125) = 10 * √(2 * 5^3) = 10 * 5 * √2 = 50√2

Therefore, the square root of 5000 simplifies to 50√2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.