Calculate the square root of 153

Problem

√(,153)

Solution

1. Identify the number under the radical and look for perfect square factors.

2. Check for divisibility by small perfect squares like 4 9 16 and 25

3. Divide 153 by 9 to find the factors.

153=9×17

4. Apply the product property of radicals, which states √(,a×b)=√(,a)×√(,b)

√(,153)=√(,9×17)

5. Simplify the square root of the perfect square factor.

√(,9)=3

6. Combine the results to write the expression in simplest radical form.

√(,153)=3√(,17)

Final Answer

√(,153)=3√(,17)

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