Question

prove that
√7-√48=2-√3​

Answer 1

Answer:Ans : 2+√3

Step-by-step explanation:

7 + √48

4+3 + square root of 4 * 12

4+3 +2*√12

(√4)^2 +2*√12 + (√3)^2 =( √4)^2 +2*√4*√3 +(√3)^2

(a+b)^2 = a^2+2ab + b^2

(√4+√3)^2

7+√48 = (√4+√3)^2

Square root of 7 +√48 = √4+√3

√4 = 2

2+√3

Ans : 2+√3

Answer 2

Step-by-step explanation:

√(7+√48)= √(7+√(12 X 4))

=√(7+√(4 X 4 X 3)) this is in model (a+b) square = a square +b square+2ab

=√(3+4+2√4√3)

=√(√3+√4)(√3+√4)

=√3+√4

Hence Answer=√3+2