Evaluate square root of 315/7

Problem

√(,315/7)

Solution

1. Simplify the fraction inside the square root by dividing the numerator by the denominator.

2. Divide 315 by 7 to find the quotient.

315÷7=45

3. Substitute the quotient back into the square root expression.

√(,45)

4. Factor the number 45 into its prime factors or identify the largest perfect square factor.

45=9×5

5. Apply the product property of square roots, √(,a×b)=√(,a)×√(,b)

√(,9×5)=√(,9)×√(,5)

6. Evaluate the square root of the perfect square.

√(,9)=3

7. Combine the results to get the simplified radical form.

3√(,5)

Final Answer

√(,315/7)=3√(,5)

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