Question

4/5+√2

Answer 1

You can just plug this into your calculator.

Answer 2

you have to Rationalize the denominator of

Answer 3

rationalize the denominator for
\[\frac{4}{5+\sqrt{2}}\] is my guess for this problem

Answer 4

.8+1.414=2.214

Answer 5

Oh then just multiply both top and bottom by 5-\[\sqrt{2}\]

Answer 6

should i type out the a b c options?

Answer 7

start by multiplying top and bottom by the conjugate of the denominator
the conjugate of \(a+\sqrt{b}\) is \(a-\sqrt{b}\) and this works because
\[(a+\sqrt{b})(a-\sqrt{b})=a^2-b\] the radical is gone

Answer 8

\[\frac{4}{5+\sqrt{2}}\times \frac{5-\sqrt{2}}{5-\sqrt{2}}=\frac{4(5-\sqrt{2})}{25-2}\] etc

Answer 9

ok i understood

Answer 10

is the official answer 20-4√2/27