Evaluate square root of 144+400

Problem

√(,144+400)

Solution

1. Identify the operation inside the radical, which is the addition of two integers.

2. Add the numbers inside the square root.

144+400=544

3. Rewrite the expression with the sum.

√(,544)

4. Factor the number inside the radical to find the largest perfect square divisor.

544=16×34

5. Simplify the radical by taking the square root of the perfect square.

√(,16×34)=4√(,34)

Final Answer

√(,144+400)=4√(,34)

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