How would you simplify sqrt2 times 5 sqrt2?

2 Answers
CountryGirl
Apr 21, 2018

10

Explanation:

Multiplying radicals is similar to regular multiplying. You will multiply the terms outside the square roots together and multiply the terms inside the square root together.

sqrt2 xx 5sqrt2

Let's change it a little to give the first quantity a number outside the square root:

1sqrt2 xx 5sqrt2

Anything multiplied by 1 is itself, so it doesn't change the value of the expression for it to be there.

Now multiply the outside numbers and inside numbers together:

1 xx 5sqrt(2xx2)

5sqrt4

5(2) rarr 10

Nam D.
Apr 22, 2018

10

Explanation:

Given: sqrt2*5sqrt2

Rearrange into:

=>sqrt2*sqrt2*5

=(sqrt2)^2*5

=2*5

=10

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