Question

(√2+2)²=
Pls explain it tooo.

Answer 1

Answer:

(√2+2)²=6+4√2

Step-by-step explanation:

(√2+2)²

by using

(a+b)^2=a^2+2ab+b^2

(√2)^2+2(2)(√2)+( 2)^2

2+4√2+4

6+4√2

Answer 2

Answer:

$6+4\sqrt{2}$

Step-by-step explanation:

$(\sqrt{2}+2)^2$

$(\sqrt{2})^2+2*\sqrt{2}*2 +(2)^2$

$=2+4+4\sqrt{2}$

$\boxed{6+4\sqrt{2} }$

$\textbf{\mathbb{FORMULA\ USED:-}}$

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

a and  b  are two variables but represent two terms. The sum of them is equal to  a +  b , which is a binomial. The square of the binomial  a  +  b  is written as  $(a+b)^2$, which is also known as the square of sum of two terms.

The (a+b) whole square is used as a formula to expand it as an algebraic expression  $a^2+2ab+b^2$.