Maths year 11

Like I said; you'd never get an actual question this messy.

It should be -7 on the denominator for $\sqrt 7 \times -\sqrt 7$.
So answer should be $-\frac{1}{18} (5+ 5\sqrt 3 + \sqrt 7 + \sqrt{21} )$ I believe.

-_-

Can you do a few examples on paper please? On these surds about 6 questions from easy to hard.





Posted from TSR Mobile

Sorry I'm not in the house right now so I can't help - I scribbled a few down. I'll be back at around 7-8pm I'm afraid.

How would you solve x^4-12x^2+16=0 ? You are suppose to give answers in the form a+b√c, where a, b, and c are constants?
Anyone know how to do this?

Thats nasty. Um, looked on wolfram and they managed to the answers. I did the same method as they did, though like I said they got the right answe and I, well, didn't.

It's not in the correct form. Also $\sqrt{a+\sqrt b} \neq \sqrt a + \sqrt[4] b$ as your have claimed in the final step of your working.

Yeah, I don't know how to deal with it; never come across something like that before.

What should it look like though? For the final step of my working.

Sorry I'm not in the house right now so I can't help - I scribbled a few down. I'll be back at around 7-8pm I'm afraid.

Can you explain this please?


Posted from TSR Mobile

Root 2275 Simplifiys to 5 root 91

So now you have 5 root 91 / root 273

Then rationalise the denominator, so 5 root 91 / root 273 * root 273 / root 273

This gives you 5 root 24843 / 273

Root 24843 Simplifiys to 91 root 3

Now 91 * 5 = 455

So you have 455 root 3 / 273

443 cancels with 273 to get 5/3

This leaves your final answer as 5 root 3 / 3



Also note 91 can cancel wth 273, however I did it a slightly longer way to keep it straight forward


Sorry if this is messy or hard to understand I'm literally walking home while I type this

Root 2275 Simplifiys to 5 root 91

So now you have 5 root 91 / root 273

Then rationalise the denominator, so 5 root 91 / root 273 * root 273 / root 273

This gives you 5 root 24843 / 273

Root 24843 Simplifiys to 91 root 3

Now 91 * 5 = 455

So you have 455 root 3 / 273

443 cancels with 273 to get 5/3

This leaves your final answer as 5 root 3 / 3



Also note 91 can cancel wth 273, however I did it a slightly longer way to keep it straight forward


Sorry if this is messy or hard to understand I'm literally walking home while I type this

You know when I need to find the final answer I don't know how to find it.



Posted from TSR Mobile

You know when I need to find the final answer I don't know how to find it.



Posted from TSR Mobile

For the final answer, only simplify inside the root, once you cannot do that anymore that should be the final answer.


e,g you cannot simplify the 48 since it's not inside the root, like 7 is. And obviously you can't simplify √7 since it's a prime.

So this is the final answer?

Posted from TSR Mobile

So this is the final answer?

Posted from TSR Mobile

Add the 14 and 24 to get 38, now you have 38 - 8 root 7 - 6 root 7

You can group the minus root 7 together because they're both root 7s
So (-8-6)root 7 which gives you -14 root 7

Now you're just left with 38-14 root 7