The square root of 1/4 × 1/49 ÷ 25/121 is:

Correct Answer is : 117011/707011

Correct Answer is : 117011/707011

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Powers and Roots Practice Test 4

Question : 14 of 40

Marks: +1, -0

\frac{1}{4} \times \frac{1}{49} \div \frac{25}{121}

is:

Solution:

Concept:

Simplify the fraction inside the square root, then take the square root of the result.

Explanation:

Convert the division into multiplication by the reciprocal:

\sqrt{\frac{1}{4}\times\frac{1}{49}\div\frac{25}{121}}

=\sqrt{\frac{1}{4}\times\frac{1}{49}\times\frac{121}{25}}

Multiply the numerators and denominators:

=\sqrt{\frac{121}{4\times49\times25}}

Take the square root of the numerator and denominator separately:

=\frac{\sqrt{121}}{\sqrt{4}\times\sqrt{49}\times\sqrt{25}}

=\frac{11}{2\times7\times5}

=\frac{11}{70}

Answer:

\frac{11}{70}

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