Question

rationalize the denominatior 7 by root12 _ root 5​

Answer 1

Step-by-step explanation:

Multiply and divide with "√12 + √5"

$= > \frac{7}{ \sqrt{12} - \sqrt{5} } \times \frac{ \sqrt{12} + \sqrt{5} }{ \sqrt{12 } + \sqrt{5} }$

=> $\frac{7~×~(√12~+~√5)}{~(√12)²~-~(√5)²~}$

=> $\frac{7(√12+√5)}{12~-~5}$

=> $\frac{7(√12+√5)}{7}$

• Cancel 7

=> $\huge\bold\pink{~(√12+√5)~}$ ✅