How do you simplify 2sqrt50 - 3sqrt8?

1 Answer
Mar 10, 2017

4\sqrt{2}

Explanation:

2\sqrt{50}-3\sqrt{8}

factor the square root value into prime numbers 2\sqrt{5\cdot5\cdot2}-3\sqrt{2\cdot2\cdot2}

combine the square values
2\sqrt{5^2\cdot2}-3\sqrt{2^2\cdot2}

factor out the squares and simplify
2(5)\sqrt{2}-3(2)\sqrt{2}=10\sqrt{2}-6\sqrt{2}=\color{indianred}{4\sqrt{2}}