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  • 75 = 25 x 3
  • 25 is a square number: 5² = 25, so ( √75 ) = (√5²)(√3) = 5√3
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Q: How do you simplify square root of 75?
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Simplify tje square root of 75?

The square root of 75 is ~8.66


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When you're asked to simplify the square root of something that isn't a perfect square like 25 or 16, look for perfect square factors within the number. For example, 75 can be written as 25x3. I'm sure you know 25 to be 5x5, the perfect square of 5. Now we can write 75 as 52x3. Since we're taking the square root, 52 gets moved out of the square root and you can write the final answer as 5 times the square root of 3, the factor that's left. Final answer: 5sqrrt3


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