Question

simplfy the expression (√11-√7) (√11+√7) ​

Answer 1

$(√11-√7) (√11+√7) \\ \\ = ( \sqrt{11} ) {}^{2} - ( \sqrt{ 7} ) {}^{2} \\ \\ = 11 - 7 \\ \\ = 4(ans)$

Formula used:

$(a + b {)}^{2} (a - b {)}^{2} = {a}^{2} - {b}^{2}$

hope it helps!

Answer 2

$\huge\textsf\red{QUESTION:}$

simplfy the expression (√11-√7) (√11+√7)

$\huge\textsf\green{ANSWER:}$

$\textsf\green{4}$

$\huge\textsf\blue{SOLUTION:}$

$\textsf{Step\:1:}$ Using (a - b)(a + b) = a² - b², simplify the product

$\implies\textsf{√11² - √7²}$

$\textsf{Step\:2:}$ Reduce the index of the radical and exponent with 2

$\implies\textsf{√11² - √7²}$

$\implies\textsf{11 - 7}$

$\textsf{Lastly:}$ Subtract the numbers

$\implies\textsf{11 - 7}$

$\green\implies\textsf\green{4}$

hope this help!