Question

The value of `sqrt (-sqrt(3) + sqrt(3 + 8 sqrt((7 + 4) sqrt3)))` is

पर्याय

• 2

• 4

• ±2

• −2

Answer 1

2

Explanation:

`sqrt (-sqrt(3) + sqrt(3 + 8 sqrt((7 + 4) sqrt2)))`

⇒ `sqrt (-sqrt(3) + sqrt(3 + 8 (2 + sqrt3)`

⇒ `sqrt (-sqrt(3) + sqrt(19 + 8 sqrt3`

⇒ `sqrt(-sqrt(3) + 4 +sqrt3)`

⇒ `sqrt4`

= 2