Question

Solve the question 1÷√7+√6-√3​

Answer 1

Answer:

Step-by-step explanation:

Answer:

\frac{1}{\sqrt{7}- \sqrt{6}}= (\sqrt{7}+\sqrt{6})

Step-by-step explanation:

Given \frac{1}{\sqrt{7}- \sqrt{6}}

Multiply numerator and denominator by (√7+√6), we get

= \frac{(\sqrt{7}+\sqrt{6})}</p><p>{(\sqrt{7}-\sqrt{6})(\sqrt{7}+\sqrt{6})}

\* By algebraic identity:

(a+b)(a-b) = a²-b²

= \frac{(\sqrt{7}+\sqrt{6})}{(\sqrt{7})^{2}-(\sqrt{6})^{2}}

= \frac{(\sqrt{7}+\sqrt{6})}{7-6}

= (\sqrt{7}+\sqrt{6})

Therefore,

\frac{1}{\sqrt{7}- \sqrt{6}}= (\sqrt{7}+\sqrt{6})