Question

square root of 4 + root 7 / 4 - root 7

Answer 1

Answer:

$\frac{4 + \sqrt{7} }{4 - \sqrt{7} }$

$= \frac{4 + \sqrt{7} }{4 - \sqrt{7} } \times \frac{4 + \sqrt{7} }{4 + \sqrt{7} }$

$= \frac{(4 + \sqrt{7}) ^{2} }{16 - 7}$

$= \frac{16 + 7 - 8 \sqrt{7} }{9}$

$= \frac{23 - 8 \sqrt{7} }{9}$

Answer 2

Answer:

It is a simple calculation where we need to substitute the value and infer the final result. Here, we need to calculate the square root of 7-4root3.

Putting values we get 4 root 3 = 6.92(approx.). The value of 7-4 root 3 is 0.08. The square root of 0.08 will be 0.282.