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−
3
27
3
-\frac{3 \sqrt{27}}{\sqrt{3}}
−
3
3
27
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Math Problems
Algebra 1
Simplify radical expressions involving fractions
Full solution
Q.
−
3
27
3
-\frac{3 \sqrt{27}}{\sqrt{3}}
−
3
3
27
Simplify Square Root:
First, let's simplify the square root of
27
27
27
.
27
=
9
×
3
=
9
×
3
=
3
×
3
\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3 \times \sqrt{3}
27
=
9
×
3
=
9
×
3
=
3
×
3
Substitute Simplified Value:
Now, substitute the simplified
27
\sqrt{27}
27
into the original expression.
−
3
27
3
-\frac{3\sqrt{27}}{\sqrt{3}}
−
3
3
27
becomes
−
3
×
3
×
3
3
-\frac{3 \times 3 \times \sqrt{3}}{\sqrt{3}}
−
3
3
×
3
×
3
Cancel Out Square Root:
Next, we can cancel out the
3
\sqrt{3}
3
in the numerator and the denominator.
−
(
3
×
3
×
3
)
/
3
-\left(3 \times 3 \times \sqrt{3}\right)/\sqrt{3}
−
(
3
×
3
×
3
)
/
3
becomes
−
3
×
3
-3 \times 3
−
3
×
3
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