Completely simply the surd expression 3√2+√50_√32.give answer in detail.

Answer 1

To simplify the surd expression

3√2 + √50 - √32,

we first simplify the square roots:

√50 = √(25 * 2) = 5√2

√32 = √(16 * 2) = 4√2

Now substitute these simplified square roots back into the expression:

3√2 + 5√2 - 4√2

Combining like terms, we get:

3√2 + 5√2 - 4√2 = 4√2

So, the simplified expression is 4√2.