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Posted by **Suzanne** on Friday, April 15, 2011 at 10:14am.

the square root of 45 plus 4 square root 5

- algebra -
**Jai**, Friday, April 15, 2011 at 10:22am*reposted*

first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal.

notice that we can further simplify squareroot of 45 as

sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5)

now, we can combine them:

3*sqrt(5) + 4*sqrt(5)

7*sqrt(5)

hope this helps~ :)

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