Question

Simplify. express in simplest radical form.

(3-√2)(3+√2)
thank you for all who help or suggest.

Answer 1

recall that \(\bf (a-b)(a+b) = (a^2-b^2)\)

Answer 2

one way would be to use the identity

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

Answer 3

(3-2)(3+2)= (1)(5)=5?

Answer 4

wait I did that wrong.

Answer 5

3^2 = 9
and
(√2)^2 = ?

Answer 6

(√2)^2=4

Answer 7

nope

Answer 8

kinda solve like a linear equation...

Answer 9

just plug in a = 3 and √2 = b
into RHS of the identity

Answer 10

and 2 * 2 = 4 not √2 * √2

Answer 11

Sorry. Independent studies and I learn through visuals. have very bad reading comprehension skills

Answer 12

oh - i'm not sure how i can help you then

Answer 13

not formilar with your RHS and what you mean by Identity when talking about this subject

Answer 14

oh sorry RHS is right hand side - in this case its a^2 - b^2

an identity is a mathematical statement which states one expression in an equivalent way and is true for all values of the variables

a simple one would be

2(a + b) = 2a + 2b

Answer 15

so employing the identity to solve your problem we have

(a - b)(a + b) = a^2 - b^2
and
(3-√2)(3+√2)

if we compare the 2 above we see that a = 3 and b = √2

so replacing a and b in RHS we get

3^2 - (√2)^2
and that simplifies to

9 - 2 = 7

and 7 is your simplest form

Answer 16

you can totally be my tutor! your good. I understand now. I am a slow learner and I just don't have anyone in my family that could help me at this level of Algebra. So, I really appreciate the time you put in to help me better understand.
thank you good sir.