Solve: \((\sqrt{5776} - \sqrt{4761}) \times \left(\dfrac{1}{2}\right)\)
3.5
Step 1 – Evaluate the square roots:
\(\sqrt{5776} = 76 \quad \text{(since } 76^2 = 5776 \text{)}\)
\(\sqrt{4761} = 69 \quad \text{(since } 69^2 = 4761 \text{)}\)
Step 2 – Compute the difference:
\(\sqrt{5776} - \sqrt{4761} = 76 - 69 = 7\)
Step 3 – Multiply by 1/2:
\(7 \times \dfrac{1}{2} = \dfrac{7}{2} = 3.5\)
Hence the value is 3.5.
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