Question

Calculate:
$\sqrt{ 3 + 2 \sqrt{2} } + \sqrt{3 - 2 \sqrt{2} }$
Don't do faaltu things, plz solve it correctly!​

Answer 1

ANSWER BELOW

(√2+√3)(√2−√3)

(√2+√3)(√2−√3)By the algebraic identity, a2−b2=(a+b)(a−b)

(√2+√3)(√2−√3)By the algebraic identity, a2−b2=(a+b)(a−b)(√2+√3)(√2−√3)=(√2)2−(√3)2

(√2+√3)(√2−√3)By the algebraic identity, a2−b2=(a+b)(a−b)(√2+√3)(√2−√3)=(√2)2−(√3)2⇒2−3=−1

(√2+√3)(√2−√3)By the algebraic identity, a2−b2=(a+b)(a−b)(√2+√3)(√2−√3)=(√2)2−(√3)2⇒2−3=−1Answer link

Answer 2

=(a+b)(a−b)(√2+√3)(√2−√3)=(√2)2−(√3)2⇒2−3=−1