Question

How do you simplify 6(square root of 2) + 10(square root of 8)?

Answer 1

`6sqrt(2) + 10sqrt(8) = 26sqrt(2)`

Explanation:

Square roots are be simplified by taking out any perfect squares, leaving just the smallest possible whole number under the square root. `sqrt(2)` can not be simplified further, but `sqrt(8)` can.

We simplify the second term of the expression to:
`10sqrt(8) = 10sqrt(4*2) = 10sqrt(4)sqrt(2) = 10*2sqrt(2) = 20 sqrt(2)`

Add it to the first term, and we get the solution:
`6 sqrt(2)+20 sqrt(2) = 26 sqrt(2)`