Question

if root 2 = 1.414 then the value of 6 root 8 -2 root 128 plus 5 root 2 is​

Answer 1

Answer:

$6 \sqrt{8} - 2 \sqrt{128} + 5 \sqrt{2} \\ = 6 \sqrt{2 \times 2^{2} } - 2 \sqrt{2 \times {2}^{6} } + 5 \sqrt{2} \\ = 6 \times 2 \sqrt{2} - 2 \times {2}^{3} \sqrt{2} + 5 \sqrt{2} \\ = 12 \times 1.414 - 16 \times 1.414 + 5 \times 1.414 \\ = 16.968 - 22.624 + 7.07 \\ = 1.414$