How do you simplify $2asqrt(9a^3b) - 3bsqrt(20a^2b) + 2asqrt(16ab)$ ?

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Answer 1 · 2017-03-15T21:49:37

$6a^2sqrt(ab)-6ab sqrt(5b) + 8asqrt(ab)$

Look for squared values within the roots.

$2asqrt(3^2xxa^2xxab) -3bsqrt(2^2xx5xxa^2b)+2asqrt(4^2ab)$

$6a^2sqrt(ab)-6ab sqrt(5b) + 8asqrt(ab)$

You could play with this further but I am not convinced it will make anything more simplified.

Example:

$2asqrt(ab)color(white)(.)(3a+4) -6ab sqrt(5b)$

How do you simplify 2asqrt(9a^3b) - 3bsqrt(20a^2b) + 2asqrt(16ab)2asqrt(9a^3b) - 3bsqrt(20a^2b) + 2asqrt(16ab)?