Question

if root 2 =1.414,then find the value of 5 root 8- 2root32+2root2

Answer 1

$5 \sqrt{8} - 2 \sqrt{32} + 2 \sqrt{2} \\ \\ = 5 \sqrt{ {2}^{3} } - 2 \sqrt{ {2}^{5} } + 2 \sqrt{2} \\ \\ = 5 \times 2 \sqrt{2} - 2 \times 4 \sqrt{2} + 2 \sqrt{2} \\ \\ = 10 \sqrt{2} - 8 \sqrt{2} + 2 \sqrt{2} \\ \\ = \sqrt{2} (10 - 8 + 2) \\ \\ = \sqrt{2} (4) \\ \\ = 4 \sqrt{2} \\ \\ = 4 \times 1.414 \\ \\ = 5.656$

Answer 2

Answer:

Step-by-step explanation: