Question

give the right answer to this problem​

Answer 1

Answer:

1/√7-√6.

Rationalising denominator of √7-√6 is √7+√6.

Multiply numerator & denominator by √7+√6.

1/√7-√6×√7+√6/√7+√6.

√7+√6/(√7)²-(√6)². (Because (a-b)×(a+b)=a²-b² where a=√7 & b=√6).

√7+√6/7-6. (Because √ & ² will cancel).

√7+√6/1.

√7+√6.

Next question is repeated.

I think this is your answer.

Answer 2

Step-by-step explanation:

$\frac{1}{ \sqrt{7 - \sqrt{6} } } \times \frac{ \sqrt{7 + \sqrt{6} } }{ \sqrt{7 + \sqrt{6} } } \\ (a - b)( a + b) = a {}^{2} - b {}^{2} \\ \frac{ \sqrt{7 + \sqrt{6} } }{ 7 - 6} \\ \\ = \sqrt{7 + \sqrt{6} }$