Question

What is the sum of 3 square root of 2 and 4 squared root of 2

Answer 1

Answer:
`7√(2)`

Step-by-step explanation

Replace each mention of "square root of 2" with x.

The original expression becomes 3x+4x, which combines to 7x.

Then we plug in
`\text{x} = √(2)` to arrive at the answer
`7√(2)`

Therefore,
`3√(2)+4√(2) = 7√(2)`

Another way to think about it would be to write it like this

`3√(2)+4√(2) = (3+4)√(2) = 7√(2)`