How do you simplify 14sqrt20 - 3sqrt125?
2 Answers
Jul 2, 2016
Explanation:
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Jul 2, 2016
Explanation:
Note that if
sqrt(ab) = sqrt(a)sqrt(b)
In particular:
sqrt(a^2b) = sqrt(a^2)sqrt(b) = asqrt(b)
So we can move square factors outside the square root like this:
14sqrt(20)-3sqrt(125)
=14sqrt(2^2*5)-3sqrt(5^2*5)
=14sqrt(2^2)sqrt(5)-3sqrt(5^2)sqrt(5)
=(14*2*sqrt(5))-(3*5*sqrt(5))
=28sqrt(5)-15sqrt(5)
=(28-15)sqrt(5)
=13sqrt(5)
