Question

Rationalize the denominator, then simplify 10/sqrt2

Answer 1

Answer:

$5\sqrt{2}$

Step-by-step explanation:

To rationalize the denominator, you need to multiply the numerator and denominator by the radical in the denominator (aka. a factor of 1):

$\frac{10}{\sqrt{2}}$

$\frac{10}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}$

$\frac{10\sqrt{2}}{2}$

$5\sqrt{2}$