Question

Simplify 6 over square root 8?

Answer 1

6/sqrt(8)= 2.121320344

Answer 2

For this case we must simplify the following expression:

`\frac {6} {\sqrt {8}}`

We rewrite 8 as
`2 ^ 3 = 2 ^ 2 * 2`

`\frac {6} {\sqrt {2 ^ 2 * 2}} =\\\frac {6} {2 \sqrt {2}} =\\\frac {3} {\sqrt {2}} =`

We rationalize, multiplying numerator and denominator by:

`\frac {\sqrt {2}} {\sqrt {2}}\\\frac {3} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}} =\\\frac {3 \sqrt {2}} {(\sqrt {2}) ^ 2} =\\\frac {3 \sqrt {2}} {2}`

ANswer:

`\frac {3 \sqrt {2}} {2}`