Question

RATIONALISE  THE FOLLOWING :
1/-√7 - √6​

Answer 1

Answer:

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})

Answer 2

Answer:

$- \sqrt{7 + \sqrt{6 \div 7 - 6 = - \sqrt{7 + \sqrt{6} } } }$

Step-by-step explanation:

it is your answer

hope it helps you