Evaluate 6 square root of 7+3 square root of 7

Problem

6√(,7)+3√(,7)

Solution

1. Identify the like terms in the expression, which are both multiples of √(,7)

2. Apply the distributive property by factoring out the common radical √(,7)

6√(,7)+3√(,7)=(6+3)√(,7)

3. Add the coefficients inside the parentheses.

6+3=9

4. Combine the result with the radical to find the final value.

9√(,7)

Final Answer

6√(,7)+3√(,7)=9√(,7)

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