Simplify (1/4)/(( square root of 15)/4)

Problem

1/4/√(,15)/4

Solution

1. Rewrite the complex fraction as a division problem between the numerator and the denominator.

1/4÷√(,15)/4

2. Multiply by the reciprocal of the divisor to simplify the division of fractions.

1/4⋅4/√(,15)

3. Cancel the common factor of 4 from the numerator and the denominator.

1/√(,15)

4. Rationalize the denominator by multiplying both the numerator and the denominator by √(,15)

(1⋅√(,15))/(√(,15)⋅√(,15))

5. Simplify the resulting expression.

√(,15)/15

Final Answer

1/4/√(,15)/4=√(,15)/15

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