How do you simplify $\sqrt{12 w} + \sqrt{27 w}$ $sqrt(12w) + sqrt(27w)$ ?

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Answer 1 · 2015-05-18T19:26:10

By decoupling the factors you have in the sum:

$\sqrt{2 \cdot 2 \cdot 3 \cdot w} + \sqrt{3 \cdot 3 \cdot 3 \cdot w}$ $sqrt(2*2*3*w)+sqrt(3*3*3*w)$

We can remove squared numbers from inside the square root.

$2 \sqrt{3 w} + 3 \sqrt{3 w}$ $2sqrt(3w)+3sqrt(3w)$

$\sqrt{3 w} (2 + 3)$ $sqrt(3w)(2+3)$

How do you simplify sqrt(12w) + sqrt(27w)√12w+√27wsqrt(12w) + sqrt(27w)?