Evaluate ( square root of 20)/( square root of 5)

Problem

√(,20)/√(,5)

Solution

1. Apply the quotient rule for radicals, which states that the quotient of two square roots is equal to the square root of the quotient.

√(,a)/√(,b)=√(,a/b)

2. Substitute the values from the expression into the rule.

√(,20/5)

3. Divide the numbers inside the radical.

20/5=4

4. Simplify the square root of the resulting quotient.

√(,4)=2

Final Answer

√(,20)/√(,5)=2

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