Question

simplify (√11+ √7) (√11-√7)
please solve this question ​

Answer 1

Answer:

4

Step-by-step explanation:

(√11-√7) (√11+√7)

(√11-√7)^2

(11-7)

4

Answer 2

Identity used is

(a+b)(a-b) = a²-b²

$( \sqrt{11} + \sqrt{7}) ( \sqrt{11} - \sqrt{7} ) = \\ \\ (\sqrt{ {11})^{2} } - (\sqrt{ {7})^{2} } \\ \\ ( {11}^{ \frac{1}{2} }) {}^{2} - ({7}^{ \frac{1}{2} } ){}^{2} \\ \\ {11}^{ \frac{1}{2} \times 2} - {7}^{ \frac{1}{2} \times 2} \\ \\ 11 - 7 \\ \\ = 4$

The answer is 4 as you can see the solution!