Question

Are √2 and √√32 like radicals? Can the sum be simplified?

Answer 1

simplifies to 5
`√(2)`

Explanation:

using the rule of radicals

`√(ab)` =
`√(a)` ×
`√(b)`

then

`√(32)` =
`√(16(2))` =
`√(16)` ×
`\sqrt{2` = 4
`√(2)`

then

`√(2)` +
`√(32)`

=
`√(2)` + 4
`√(2)` ( the 2 terms have like radicals so add coefficients )

= 5
`√(2)`