Question

HELP HELP HELP Me Please On # 33. I need to simplify it i know the answer but can u write it step by step for me.

Answer 1

please

Answer 2

?

Answer 3

So it would just be like expanding a polynomial...

\[\large (3√2 - 2√5) (4√2 + 2√5)\]

You multiply the first term in the first parenthesis...by both terms in the second...

\[\large (3√2 \times 4√2) + (3√2 \times 2√5)\]
Then take the 2nd term in the first parenthesis..and do the same
\[\large (-2√5 \times 4√2) + (-2√5 \times 2√5)\]

so altogether we have

\[\large (3√2 \times 4√2) + (3√2 \times 2√5) - (2√5 \times 4√2) + (-2√5 \times 2√5)\]

And start simplifying it out...

what is \(\large 3√2 \times 4√2\) \(\large = 12 \times 2 = 24\)
what is \(\large 3√2 \times 2√5\) \(\large = 6√10 \)
what is \(\large -2√5 \times 4√2\) \(\large = -8√10\)
what is \(\large -2√5 \times 2√5\) \(\large = -4 \times 5 = -20\)

So we have...in all...

\[\large 24 + 6√10 - 8√10 - 20\]

24 - 20 = 4 so

\[\large 4 + 6√10 - 8√10\]

Combine those square roots since they have the same number under the radical

\[\large 4 - 2√10\]

Answer 4

THANK U SO MUCH!:)

Answer 5

Anytime :) just sorry it took so long to write lol