Question

Simplify-3square root2+3square root 8

Answer 1

Step-by-step explanation:

3

√

2

2

⋅

2

Pull terms out from under the radical.

3

(

2

√

2

)

Multiply  

2

by  

3

.

6

√

2

The result can be shown in multiple forms.

Exact Form:

6

√

2

Decimal Form:

8.48528137

…

Answer 2

For this case we must simplify the following expression:

$3 \sqrt {2} +3 \sqrt {8}$

We rewrite:

$8 = 2 ^ 3 = 2 ^ 2 * 2\\3 \sqrt {2} +3 \sqrt {2 ^ 2 * 2} =$

For properties of potecnias and roots we have that:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

Then, rewriting the expression:

$3 \sqrt {2} + 2 * 3 \sqrt {2} =\\3 \sqrt {2} +6 \sqrt {2} =\\9 \sqrt {2}$

Answer:

$9 \sqrt {2}$