Question

The positive square root of 7+root 48 is

Answer 1

Answer:

7 +root 48 = 7 + root 4 ×4 ×3 = 7 + 4 root 3

let the square of a + root b . ( there must be in that format )

so ( a+ root b )²= 7 + 4 root 3 ( a + root b )²= a²+ b + 2a root b = 7 +4 root 3

compare all the terms = 2aroot b = 4 root 3

= a root b = 2 root 3a = 2 ,

b= 3. so here a² + b = 7

a + root b = 2 + root 3

hence ; 7 + root 48

= 4+3+root 4 ×4×3

= 2² + root 3²+ 2*2* root 3

= (2 + root 3 )²

here the positive square root of 7 + root 48 is 2+ root 3

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