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22-02-2018
Mathematics

contestada

Simplifying Square Roots of 3square135
Can somebody help me with this, I want to learn how it goes.
Thanks

Respuesta :

22-02-2018

Answer:
3√135 = 9√15

Explanation:
135 = 5*3*9
Therefore:
sqrt(135) = sqrt(5*3*9) = sqrt(5) * sqrt(3) * sqrt(9)
Now, sqrt(9) = 3, this means that:
sqrt(135) = 3*sqrt(3)*sqrt(5) = 3√15

Now, for the given:
3√135 = 3 * 3√15 = 9√15

Hope this helps :)

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