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exis [7]
3 years ago
12

Simplify 6 over square root 8?

Mathematics
2 answers:
Serhud [2]3 years ago
8 0

6/sqrt(8)= 2.121320344

Harman [31]3 years ago
4 0

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}

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