Question

(3+2+√2)(3-2√2)
Simplify​

Answer 1

Step-by-step explanation:

$(3 + 2 \sqrt{2} )(3 - 2 \sqrt{2} ) \\ = 9 - 8 \\ = 1 \\ \\ used \: identity(x + y)(x - y) = {x}^{2} - {y}^{2}$

Answer 2

$\blue{A}$ ${N}$ $\red{S}$$\orange{W}$$\green{E}$]$\pink{R}$→

Given→

(3+2+√2)(3-2√2)

To find→

Simplify

Solution→

$(3+2 + \sqrt{2} )(3 - 2 \sqrt{2} ) \\ = 3(3 - 2 \sqrt{2} )+2(3 - 2 \sqrt{2} ) + \sqrt{2} (3 - 2 \sqrt{2} ) \\ = 9 - 6 \sqrt{2} + 6 - 4 \sqrt{2} + 3 \sqrt{2} - 8 \\ = 9 + 6 - 8 - 6 \sqrt{2} - 4 \sqrt{2} + 3 \sqrt{2} \\ = 9 - 2 - 10 \sqrt{2} + 3 \sqrt{2} \\ = 7 - 7 \sqrt{2} \\ = - 7 \sqrt{2} + 7 \\ = - 7( \sqrt{2} - 1)$