Question

Simplify. square root 75 minus 4 times the square root 8 minus 3 times the square root of 32

negative 15 square root 5

negative 15 square root 6

5 square root 3 minus 20 square root 2

5 square root 3 plus 4 square root 2

Answer 1

square root 75 \[
\sqrt{75}
\]
square root 75 minus 4 times the square root 8 \[
\sqrt{75}-4\sqrt{8}
\]
square root 75 minus 4 times the square root 8 minus 3 times the square root of 32\[
\sqrt{75}-4\sqrt{8}-3\sqrt{32}
\]

Okay so far is this easy to understand?

Answer 2

some what

Answer 3

Now we factor: \[
75 = 3\times 5\times 5
\]
Can you factor \(8\) and \(32\)?

Answer 4

Notice how:\[
\sqrt{75} =\sqrt{3\times 5^2}=5\sqrt{3}
\]

Answer 5

We want to do this with \(8\) and \(32\) if possible.

Answer 6

alright

Answer 7

@wio how do you want me to do this?

Answer 8

First factor the numbers \(8\) and \(32\) into prime numbers.

Answer 9

ok i dont undersyand the factorin part

Answer 10

Basically, what two numbers do you multiply to get \(8\)?

Answer 11

2&4

Answer 12

Ok, to do 8,