How do you simplify (3sqrt5)(2sqrt10)?

1 Answer
Suren Abreu
Aug 6, 2017

30sqrt2

Explanation:

When multiplying coefficients (the whole number) with radicands (the numbers under the square root signs), we multiply them with the other of the same kind.

Hence:

(3sqrt5)(2sqrt10)

=>(3xx2)(sqrt5xxsqrt10)

The radicands are multiplied under one square root sign.

=>(6)(sqrt(5xx10))

=>6sqrt50

We can factorise the radicand to simplify it.

=>6(sqrt(5*5*2))

Taking out the 5 we get:

=>6xx5sqrt2

=>30sqrt2

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