Evaluate square root of 4+76-4

Problem

√(,4+76−4)

Solution

1. Identify the expression inside the radical (the radicand), which is 4 + 76 - 4$.

2. Perform addition within the radicand by adding 4 and 76

4+76=80

3. Perform subtraction within the radicand by subtracting 4 from the result.

80−4=76

4. Simplify the square root of the resulting value.

√(,76)

5. Factor the number 76 to find perfect square factors.

76=4×19

6. Apply the product property of square roots to separate the factors.

√(,4×19)=√(,4)×√(,19)

7. Evaluate the square root of the perfect square.

√(,4)=2

Final Answer

√(,4+76−4)=2√(,19)

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