Question

Calculate 6/√2 and express it in form of a√b

Answer 1

Answer:

$3 \sqrt{2}$

Step-by-step explanation:

$\frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2}$

We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.

Hope this helps ;) ❤❤❤

Answer 2

Answer:

$\boxed{\sf 3\sqrt{2}}$

Step-by-step explanation:

$\displaystyle \frac{6}{\sqrt{2} }$

$\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}$

$\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }$

$\displaystyle \frac{6\sqrt{2} }{2 }$

$\sf Simplify$

$3\sqrt{2}$