Simplify ( square root of 3)/( square root of 67)

Problem

√(,3)/√(,67)

Solution

1. Apply the quotient property of radicals to combine the numerator and denominator into a single square root.

√(,3)/√(,67)=√(,3/67)

2. Rationalize the denominator by multiplying both the numerator and the denominator inside the radical by 67 to remove the radical from the bottom.

√(,(3⋅67)/(67⋅67))

3. Multiply the values in the numerator and simplify the denominator.

√(,201)/√(,67)

4. Simplify the radical in the denominator to obtain the final rationalized form.

√(,201)/67

Final Answer

√(,3)/√(,67)=√(,201)/67

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