Question

Evaluate 5√8 +6√32 and show steps​

Answer 1

Answer:

$34 \sqrt{2}$

Step-by-step explanation:

We know that,

$\sqrt{8} = \sqrt{2 \times 2 \times 2} = 2 \sqrt{2}$

$\sqrt{32} = \sqrt{2 \times 2 \times 2 \times 2 \times 2} = 4 \sqrt{2}$

So,

$5 \sqrt{8} + 6 \sqrt{32} \\ = 5 \times 2 \sqrt{2} + 6 \times 4 \sqrt{2}$

$10 \sqrt{2} + 24 \sqrt{2}$

$34 \sqrt{2}$