Evaluate square root of 35

Problem

√(,35)

Solution

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

2. Factor the number into its prime components to see if it contains any perfect square factors.

35=5×7

3. Determine if the radical can be simplified. Since both 5 and 7 are prime numbers and neither is repeated, 35 has no perfect square factors other than 1

4. Conclude that the expression is already in its simplest radical form.

5. Approximate the value if a decimal is required. Since 5=25 and 6=36 the value is slightly less than 6

√(,35)≈5.916

Final Answer

√(,35)=√(,35)

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