Calculate the square root of 35

Problem

√(,35)

Solution

1. Identify the number under the radical, which is 35

2. Factor the number to check for perfect square factors. The prime factorization of 35 is 5×7

3. Determine if the radical can be simplified. Since neither 5 nor 7 are perfect squares and there are no repeating factors, the expression √(,35) is already in its simplest radical form.

4. Approximate the value if a decimal is required. Since 5=25 and 6=36 the value is slightly less than 6 Using a calculator, √(,35)≈5.916

Final Answer

√(,35)=√(,35)

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