Question

On on the simplifying (root 11 + root 7) close root 11 + root 7 break up close

Answer 1

Answer:

IN MATHEMATICAL CONVERSION,

$( \sqrt{11} + \sqrt{7} )( \sqrt{11} + \sqrt{7} )$

$= {( \sqrt{11} + \sqrt{7} ) }^{2}$

WE KNOW THAT,

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

SO,

${( \sqrt{11} + \sqrt{7} )}^{2} = \\ ({ \sqrt{11} )}^{2} + {( \sqrt{7}) }^{2} + 2( \sqrt{11} )( \sqrt{7})$

WHICH IS EQUAL TO

↓↓

$11 + 7 + 2 \sqrt{77}$

= 18 + 2√77