Question

Can you help me with this question about conjugate surds?
(3+√2)(3_√2)=

Answer 1

$\huge\mathcal\fcolorbox {red}{cyan}{SoLuTioN࿐}$

✔ 7.

Step-by-step explanation:

$(3+√2)(3 - √2) \\ = ({3})^{2} - {( \sqrt{2} )}^{2} \\ = 9 - 2 \\ = 7$

Note:-

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

︎︎︎ $\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆$

Answer 2

Answer:

7

Step-by-step explanation:

(3+√2)(3_√2)

(a+b)(a-b)= a² - b²

a=3 and b= √2

= 3² -√2²

= 9 -2

=7