Need help with this surds questions

Please I need help from here what do i do?

You are screwed. Notice that the insides of the square root are negative, how are you going to get a real number?

did i do anything wrong
could i have approach the question differently

Are you sure you have quoted the question correctly?
The problem you have given can't be solved.

As I said, clearly $5 - 4 \sqrt{2}$ is negative, and $5+4\sqrt{2}$ is positive, so $\dfrac{5+4\sqrt{2}}{5 - 4 \sqrt{2}}$ is negative. Suppose it can be written as $\displaystyle a+b\sqrt{2} = \sqrt{\dfrac{5+4\sqrt{2}}{5 - 4 \sqrt{2}}}$, then $\displaystyle (a+b\sqrt{2})^2 = \dfrac{5+4\sqrt{2}}{5 - 4 \sqrt{2}}$, the RHS being negative but the LHS being non-negative. Contradiction. So it can't be written in that form.

thank you very much for taking your time to answer
i was struggling with this

so just to confirm the question was worded wrong

thank you very much for taking your time to answer
i was struggling with this

so just to confirm the question was worded wrong

Rah, ur teacher must be dodo ak

lool the question is from crashmaths

Have a look at madasmaths, if you want questions that actually work...

Have a look at madasmaths, if you want questions that actually work...

Have a look at madasmaths, if you want questions that actually work...

my solution:
i up[loaded my solution
am right that there is something wrong?

Yeah you're right but obviously the second equation is defined for $\forall x,y\geq 0, \sqrt{x} - \sqrt{y}\not= 0$ so they never intersect. Unless the domain of both equations is over $\mathbb{C}$

Thank RDKGames hows Maths at uni?

No problem.

It's great imo, we are flying through content quite fast so it's a challenge to keep up to be honest with everything else going on at uni socially xD but content-wise it's great, learning loads of new material that is barely even scratched at A-Level - FM or not

Have a look at madasmaths, if you want questions that actually work...