How do you simplify #2sqrt50 - 3sqrt8#?

1 Answer
Mar 10, 2017

Answer:

#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}}#