Question

Which is the following sum in simplest form? sqrt 8+ 3 sqrt2 +sqrt 32

Answer 1

Exact Form:

9√2

Decimal Form:

12.72792206

Explanation:

Simplify expression

Answer 2

`9√(2)`

Explanation:

sqrt 8+ 3 sqrt2 +sqrt 32

`√(8) +3√(2) +√(32)`

Simplify each square root

`√(8)=√(2*2*2)=2√(2)`

`√(32)=√(4*4*2)=4√(2)`

Given expression becomes

`2√(2) +3√(2) +4√(2)`

All are like terms so we add it

`9√(2)`