Simplify square root of 21

Problem

√(,21)

Solution

1. Identify the factors of the number inside the square root.

21=3×7

2. Check for perfect square factors.
   The prime factors are 3 and 7 Neither of these is a perfect square, and there are no repeating factors that would form a perfect square.

3. Conclude that the expression cannot be simplified further in radical form.
   Since 21 has no square factors other than 1 the square root is already in its simplest radical form.

Final Answer

√(,21)=√(,21)

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