Question

FAN & MEDAL?
The square root of 50 plus square root of 2

Decide irrational or rational and solve.

Answer 1

well to help look at it like this

\[\sqrt{50} + \sqrt{2} = \sqrt{25 \times 2} + \sqrt{2}\]

this may enable you to simplify it

Answer 2

does it simplify to \[\sqrt[6]{2}\]..............? .-.

Answer 3

not quite
\[\sqrt{25 \times 2} + \sqrt{2} = \sqrt{25} \times \sqrt{2} + \sqrt{2}\]

thismay be a bigger help

Answer 4

so you get

\[5\sqrt{2} + \sqrt{2} = ? \sqrt{2}\]

collect the like terms to find ?

Answer 5

To be honest. I'm not good at all with radicals. They hit me like a bag of hammers :'/

Answer 6

\[\sqrt[7]{2}\] ?? since the indexes are added?

Answer 7

no this small 7 means the 7th root of 2

when the answer is just

\[6 \sqrt{2}\]

Answer 8

ohh I see now. But how did you get the 6th root of 2 instead of 7?

Answer 9

its

\[\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5 \times \sqrt{2}\]
and
\[\sqrt{2} = 1 \times \sqrt{2}\]

so the common factor is \[\sqrt{2}\]

which means the solution is

\[(5 + 1) \sqrt{2} = 6 \sqrt{2}\]

its like 5x + x = 6x

Answer 10

Oh okay. Sorry about that. I have to watch some videos or something on radicals. Thanks so much for your help Campbell :D