Questions: Simplify the expression. √28 √28 = □

Solution Steps

To simplify the expression \(\sqrt{28}\), we need to find the prime factorization of 28 and identify any perfect squares. The number 28 can be factored into \(2^2 \times 7\). The perfect square factor is \(2^2\), which can be taken out of the square root.

To simplify \(\sqrt{28}\), we first find the prime factorization of 28. The number 28 can be expressed as \(2^2 \times 7\).

In the factorization \(2^2 \times 7\), the term \(2^2\) is a perfect square. We can take the square root of this term separately.

The square root of \(2^2\) is 2. Therefore, \(\sqrt{28}\) can be simplified by taking 2 out of the square root, leaving \(\sqrt{7}\) inside.

Final Answer