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$\\sqrt{12}$ is not a whole number because there is no whole number tha…

Question

$\sqrt{12}$ is not a whole number because there is no whole number that we can multiply by itself to find a product of 12. that means $\sqrt{12}$ is irrational, so we can only find an approximation of its value. to help us do that, we can start by finding the two perfect squares that 12 is between. start by completing the table with the squares of 2, 3, 4, 5, and 6.

Explanation:

Step1: Calculate \(2^{2}\)

\(2^{2}=2\times2 = 4\)

Step2: Calculate \(3^{2}\)

\(3^{2}=3\times3=9\)

Step3: Calculate \(4^{2}\)

\(4^{2}=4\times4 = 16\)

Step4: Calculate \(5^{2}\)

\(5^{2}=5\times5=25\)

Step5: Calculate \(6^{2}\)

\(6^{2}=6\times6 = 36\)

Answer:

\(2^{2}=4\), \(3^{2}=9\), \(4^{2}=16\), \(5^{2}=25\), \(6^{2}=36\)