Hello! I need to simplify a product, but am not sure how! I will put the product in the answers. Please help! And don't just give me the answer, explain how to get it! Alright thanks! c:

Question

anonymous · Answer

$$\left( 5\sqrt{2} -2\sqrt{3}\right)^2$$


there is the product! c:

anonymous · Answer

@myininaya help please?

anonymous · Answer

expand the equation by removing the brackets

anonymous · Answer

would i just rewrite it without the brackets?

anonymous · Answer

(52√−23√)(52√−23√)

anonymous · Answer

just like that. dont mind the 2 dat was omited, it was a mistake

anonymous · Answer

then multiply using 'surds'

anonymous · Answer

okay it's fine haha. what is surds?

anonymous · Answer

i dont really know how to explain it. tis about multiplying or adding fractions with roots

anonymous · Answer

okay, so would I multiply the two 5's and 2's and come up with this...$$(25\sqrt{2}^2-4\sqrt{3}^2)^2$$

anonymous · Answer

nooo

anonymous · Answer

yup I've got no idea what I'm doing haha

anonymous · Answer

$$(5\sqrt{2} - 2\sqrt{3})(5\sqrt{2} - 2\sqrt{3})$$

anonymous · Answer

you will get:

anonymous · Answer

ohh... that's the answer isn't it? :p i'm a little slow

anonymous · Answer

$$10\sqrt{2} + (5\sqrt{2} * 2\sqrt{3}) - (2\sqrt{3} * 5\sqrt{2}) + 4\sqrt{3}$$

anonymous · Answer

you will then need to simplify

anonymous · Answer

hmm okay

anonymous · Answer

by opening up the brackets

anonymous · Answer

$$10\sqrt{2} - 10\sqrt{6} + 10\sqrt{6} + 4\sqrt{3}$$

anonymous · Answer

$$10\sqrt{6}$$ cancels out

anonymous · Answer

the answer would be: $$10\sqrt{2} + 4\sqrt{3}$$

anonymous · Answer

Oh! That makes so much sense! thank you so much! (:

anonymous · Answer

you er welcome. just give me a medal :)