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Simplify each square root.

-6.25

Short Answer

Expert verified

The square root of the number is -2.5.

Step by step solution

01

Step 1. Write as fraction.

We can write 6.25 as 625100.

02

Step 2. Identify perfect square.

We know that 625=252 and 100=102.

03

Step 3. Square root of the perfect square.

Since 625=252 and 100=102. So, we can write -6.25=-625100=-252102.

04

Step 3. Cancel square and square root

-252102=-2510

05

Step 4. Simplify the fraction.

We will simplify 2510by turning it to decimal.

We know that 2510=2.5.

So, -2510=-2.5.

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