Question

If 3 + under root 7 upon 3 minus under root 7 + 3 minus under root 7 upon 3 + under root 7 is equal to a + b under root 7 find the value of a and b

Answer 1

HEY!!!!!



Say, y=7+43–√−−−−−−−√

Squaring both sides we get

7+43–√=y2.

Equivalently 43–√=y2−7.

Squaring both sides again,

⟹48=(y2−7)2

⟺36<(y2−7)2<49

⟹6
⟺13
Since the right side of the inequality will give a better approximation of y

y≈14−−√≈3.7.