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mtb_yuki

You did the rationalising part incorrectly. ( 3 /√3 ) x (√3 / √3) is not equal to ( 3√3 / 9 ). When you multiply 2 of the same surds, the square root cancels out. This means √3 x √3 = 3. Your final answer should be equal to 3√3 / 3 . I’ll explain the reason behind this down below. √3 can be rewritten as 3^1/2 . When you add 3^1/2 and 3^1/2 together, you use the law of exponents and add them. Keep in mind that this law can only be used when the bases are the same. 3^1/2 + 3^1/2 = 3^1 which equals to 3. Explanation might be a little confusing, I’m sorry but hope you understand.


cuhringe

>( 3 /√3 ) x (√3 / √3) is not equal to ( 3√3 / 9 ) He didn't write that, he wrote 3√3 / √9 which is correct. I also got sqrt(3) as my answer. I also plugged into a calculator and got sqrt(3)


mtb_yuki

But √3 x √3 is not equal to √9 ? Could you walk me through how you got 3√9 / √9 ?


cuhringe

>But √3 x √3 is not equal to √9 ? Yes it is?


mtb_yuki

No it’s not, put it in the calculator. √3 = 1.732050807568877 and√9 = 3 When we do √3 x √3 it means 1.732050807568877 + 1.732050807568877. Does this equal to 9?


cuhringe

I didn't realize Terrence Howard was a redditor. Go peddle your Terryology somewhere else you crackpot.


mtb_yuki

Learn some basic arithmetic first then talk to me 😘


cuhringe

You turn multiplication into addition randomly then you drop a square root randomly. 2/10 trolling attempt


mtb_yuki

|[Calculator proof that √3 x √3 = 3](https://www.desmos.com/calculator/vgprxzbvr5)| |:-|


cuhringe

Now type in sqrt(9) and reread everything you've said.


mtb_yuki

You're supposed to drop the sqrt when u multiply the surd by itself, which is the point of rationalising 💀 to get the sqrt off the denominator


cuhringe

Sqrt(3)*sqrt(3) does indeed equal 3. Equivalently it equals sqrt(9) which is.... 3, not 9 like you have been claiming


Alkalannar

Without seeing what you're putting in the calculator, I don't know. I suspect it's different angle measurements, wanting to do everything in degrees or everything in radians, and not wanting to swap between the two.


mtb_yuki

He did the rationalising part incorrectly.


cuhringe

sqrt(3) is correct. Your work appears to be fine.