Evaluate (2 square root of 351)/351

Problem

(2√(,351))/351

Solution

1. Factor the number inside the square root to find perfect square factors.

351=9×39

2. Apply the product property of radicals √(,a×b)=√(,a)×√(,b)

√(,351)=√(,9×39)

√(,351)=3√(,39)

3. Substitute the simplified radical back into the original expression.

(2*(3√(,39)))/351

4. Multiply the constants in the numerator.

(6√(,39))/351

5. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

6÷3=2

351÷3=117

6. Write the final simplified expression.

(2√(,39))/117

Final Answer

(2√(,351))/351=(2√(,39))/117

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