Calculate the square root of 90

Problem

√(,90)

Solution

1. Identify the number under the radical and look for its prime factors.

90=9×10

2. Factor the number into a perfect square and a non-perfect square.

90=3×10

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

√(,90)=√(,9)×√(,10)

4. Simplify the square root of the perfect square.

√(,9)=3

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

√(,90)=3√(,10)

Final Answer

√(,90)=3√(,10)

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