Question

Simplified value of √9+√7/ √9-√7 ?

Answer 1

Step-by-step explanation:

√9 + √7 / √9-√7

= 3+√7/3-√7

by rationalizing we get

(3+√7)^2/ (3)^2 - (√7)^2

9+ 7+6√7 /9-7

16+6√7 / 2

Hence ans is 16+6√7 / 2 = 8+3√7

PLSSSSS mark as brainliest plsssssssss

Answer 2

Answer:

√9+√7 / √9-√7

Step-by-step explanation:

√9+√7 / √9-√7

We should multiply whole equation by denominator by changing their symbols.

=√9+√7 / √9-√7 * √9+√7 / √9+√7

Both the numerator are in form of :(√9+√7)^2

Both Denominator are in the form of :

{(√9)^2-(√7)^2}

If we divide these both forms

=(√9+√7)^2 / {(√9)^2-(√7)^2}

=Numerator: (√9)^2+(√7)^2+2*√7*√9

=Denominator: (√9)^2 - (√7)^2

Numerator = 9+7+2√63

= 16+2√63

Denominator = 9-7

=2

So,We got both numerator by denominator:

16+2√63 / 2. ANSWER.