Question

Simplify by rationalizing the denominator. a/sqrt10+sqrt2

Answer 1

Multiply the numerator and denominator by the conjugate of the denominator which is:
\[\sqrt{10}-\sqrt{2}\]

Answer 2

so this is the answer then 1/2 sqrt2/5a-sqrt2

Answer 3

no

Answer 4

then what did I do wrong

Answer 5

\[\frac{a}{\sqrt{10}+\sqrt{2}}\times\frac{\sqrt{10}-\sqrt{2}}{\sqrt{10}-\sqrt{2}}=\frac{a \sqrt{10}-a \sqrt{2}}{10-2}\]

Answer 6

oic thank you