Evaluating Radical Expressions
Evaluate the following using your graphing calculator. If there is no real solution, write "DNE". Round answers to three decimal places if necessary.
6
225
\displaystyle {6}\sqrt{{{225}}}
6
225
=
−
128
7
8
\displaystyle \frac{{\sqrt[{{7}}]{{-{128}}}}}{{8}}
8
7
−
128
=
13
−
343
3
\displaystyle \frac{{13}}{{\sqrt[{{3}}]{{-{343}}}}}
3
−
343
13
=
−
37
\displaystyle -\sqrt{{{37}}}
−
37
=
(
−
5
)
2
5
\displaystyle {\sqrt[{{5}}]{{{\left(-{5}\right)}^{{2}}}}}
5
(
−
5
)
2
=
−
84
\displaystyle \sqrt{{-{84}}}
−
84
=
(
7
3
)
4
\displaystyle {\left({\sqrt[{{3}}]{{{7}}}}\right)}^{{4}}
(
3
7
)
4
=
7
4
3
\displaystyle {\sqrt[{{3}}]{{{7}^{{4}}}}}
3
7
4
=
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