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square root of 60

square root of 60

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Kathye P. | Math Geek, passionate about teachingMath Geek, passionate about teaching
5.0 5.0 (150 lesson ratings) (150)
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Hi, Erin.

60 is not a perfect square, so the answer will still include a radical (a square root of some number). We can simplify the square root of any number, though, if the number has any factors that are perfect squares.

As Daniel pointed out, 60 has 4 as a factor, so:

√60 = √(4*15)

 = √4 * √15

 = 2√15

Note that √15 cannot be simplified further because none of the factors of 15 are perfect squares.

Hope this helps!

 

 

 

Daniel O. | Math and Physics Tutor, with a math and physics degreeMath and Physics Tutor, with a math and ...
5.0 5.0 (265 lesson ratings) (265)
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To get an exact value, 60 = 4 x 15, so

√60 = √(4x15) = √4 x √15 = 2√15