How do you simplify 3sqrt5 * sqrt53√5⋅√5?

1 Answer
mason m
Jun 3, 2016

1515

Explanation:

Don't be confused by what 3sqrt53√5 means. It is just the multiplication of 33 and sqrt5√5, so 3sqrt5=3*sqrt53√5=3⋅√5.

Therefore 3sqrt5*sqrt5=3*sqrt5*sqrt53√5⋅√5=3⋅√5⋅√5.

We see that sqrt5*sqrt5=5√5⋅√5=5, so our expression becomes

3sqrt5*sqrt5=3*(sqrt5*sqrt5)=3*5=153√5⋅√5=3⋅(√5⋅√5)=3⋅5=15.

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