Question

How do you solve

2√50-3√32

Answer 1

You can simplify 2 root 50 into 4 root 2 by taking out the 25 as a factor of 50. You can simplify 3 root 32 into 12 root 2 by taking out the 16 as a factor of 32.
The equation now becomes 4 root 2 minus 12 root 2 which is equal to
-8 square root sign 2

Answer 2

`\bf 2√(50)-3√(32)\qquad \begin{cases} 50\to \cdot 2\cdot 5\cdot 5\\ \qquad 2\cdot 5^2\\ 32\to 2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^2\cdot 2^2\cdot 2\\ \qquad (2^2)^2\cdot 2\\ \qquad 4^2\cdot 2 \end{cases}\implies 2√(2\cdot 5^2)-3√(4^2\cdot 2) \\\\\\ 2\cdot 5√(2)-3\cdot 4√(2)\implies 10√(2)-12√(2)\implies (10-12)√(2)\implies \boxed{-2√(2)}`