Question

An expression is shown below:

square root of 32 plus square root of 2

Which statement is true about the expression?
choices:
It is rational and equal to 4.
It is rational and equal to 5.
It is irrational and equal to 5 multiplied by square root of 2.
It is irrational and equal to 5 multiplied by square root of 2.

Answer 1

Hint:- sqrt 32 = sqrt 16 * sqrt 2

Answer 2

what is the square root of 16?

Answer 3

4

Answer 4

right so square root16 * square root = 4 sqrt2 right?

Answer 5

sorry im confused on what you just said :/

Answer 6

so what is 4 sqrt 2 + sqrt 2?

Answer 7

sorry that should have read sqrt 16 * sqrt 2 = 4 sqrt 2

Answer 8

oh okay, its fine haha and I would put sqrt 2 + sqrt 2 in the calculator correct?

Answer 9

No

Answer 10

treat the radical (sqrt 2) as if it was a variable , say x
so 4x + x = 5x
then 4 sqrt2 + sqrt 2 = 5 sqrt 2

Answer 11

and sqrt 2 is irrational

Answer 12

so the third statement is true

Answer 13

okay :) thanks for helping me out and explaining to me how to get the answer.

Answer 14

yw

Answer 15

notice 4th option is same as 3rd lol

Answer 16

oops haha I didn't realize I did that. the fourth option was supposed to be 4 not 5

Answer 17

does that still make the third choice correct @cwrw238