Evaluate square root of 70

Problem

√(,70)

Solution

1. Identify the number under the radical, which is 70

2. Determine if 70 is a perfect square. Since 8=64 and 9=81 the square root is not an integer.

3. Factor the number to see if it can be simplified. The prime factorization of 70 is 2×5×7

4. Conclude that since there are no repeating prime factors (no perfect square factors), the radical cannot be simplified further in exact form.

5. Approximate the value using a calculator if a decimal is required. √(,70)≈8.366600265

Final Answer

√(,70)≈8.3666

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