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Powers and Roots Practice Test 2

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Question : 13 of 40

Marks: +1, -0

Simplify:

\sqrt{\frac{25}{81} - \frac{1}{9}}

$\frac{25}{81}$
$\frac{16}{81}$
$\frac{4}{9}$
$\frac{2}{3}$

Solution:

Concept:

Combine the fractions inside the square root first, then simplify the square root.

Explanation:

Write

\frac{1}{9}

with denominator

81

:

\frac{1}{9}=\frac{9}{81}

.

Subtract inside the root:

\frac{25}{81}-\frac{9}{81}=\frac{16}{81}

.

Take the square root:

\sqrt{\frac{16}{81}}=\frac{\sqrt{16}}{\sqrt{81}}=\frac{4}{9}

.

Answer:

\frac{4}{9}

, which is Option C.

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