Question

simplify the surd √320​

Answer 1

Answer:

8√5

Step-by-step explanation:

1. √320
2. √2*2*2*2*2*2*5
3. √(2*2)(2*2)(2*2)*5
4. 2*2*2√5
5. 8√5

Answer 2

Answer:

$\sqrt{320} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 } \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 5} \\ = \sqrt{ {2}^{2} } \times \sqrt{ {2}^{2} } \times \sqrt{ {2}^{2} } \times \sqrt{5} \\ = {2}^{2 \frac{1}{2}} {2}^{2 \frac{1}{2}}{2}^{2 \frac{1}{2}} \times \sqrt{5 } \\ = 2 \times 2 \times 2 \sqrt{5} = 8 \sqrt{5}$