Question

Multiply: 2 the square root of 11 • 8 the square root of 22

a. 8 the square root of 11
b. 10 the square root of 33
c. 64 the square root of 22
d. 176 the square root of 2

Answer 1

\(\large 2\sqrt 11 \times 8\sqrt 22\)?

Answer 2

Yeah

Answer 3

I get to the point were it becomes 16 (sqrt) 242 then I dont know what to do

Answer 4

sqrt 11 * sqrt 22
= sqrt 11 * sqrt 11 * sqrt 2
= (sqrt 11)^2 * sqrt 2
= 11 * sqrt 2

Answer 5

so now add in the x 2 and x 8

Answer 6

11 * 2 * 8 * sqrt 2
= 176 * sqrt 2

Answer 7

How did you get the sqrt 11 * sqrt 22

Answer 8

\(\Large 2\times \sqrt {11} \times 8 \times \sqrt {22}\)
\(\Large 2\times 8 \times \sqrt {11} \times \sqrt {22}\)
\(\Large 2\times 8 \times \sqrt {11} \times \sqrt {(2 \times 11)}\)
\(\Large 2\times 8 \times \sqrt {11} \times \sqrt {2} \times \sqrt {11}\)
\(\Large 2\times 8 \times \sqrt {11} \times \sqrt {11} \times \sqrt {2} \)
\(\Large 2\times 8 \times 11 \times \sqrt {2} \)

Answer 9

Oh so you were just simplifying the equation?

Answer 10

yeps ;)

Answer 11

so that would be 176 (sqrt) 2

Answer 12

perfect

Answer 13

Thank you so much! It make so much more sense now

Answer 14

all good, np ;)