A number that indicates a number is multiplied by the number itself.
A number that is equal to the square of a whole number.
\(\begin{aligned} 144&=12\times12 \\\\&=12^2. \end{aligned}\)
\(144\) is a perfect square.
The square of \(8\) is \(64\).
The square root of \(64\) is \(8\).
\(8\times8=64\)
Thus,
\(\begin{aligned} \sqrt{64}&=\sqrt{8\times8} \\\\&=8. \end{aligned}\)
Calculate:
(i)
\(\begin{aligned} 3^2&=3\times3 \\\\&=9. \end{aligned}\)
(ii)
\(\begin{aligned} \bigg(\dfrac{2}{5}\bigg)^2&=\dfrac{2}{5}\times\dfrac{2}{5} \\\\&=\dfrac{4}{25}. \end{aligned}\)
Solve:
\(\begin{aligned} \sqrt{121}&=\sqrt{11\times11} \\\\&=\sqrt{11^2}\\\\&=11. \end{aligned}\)
\(\begin{aligned} \sqrt{\dfrac{25}{49}}&=\sqrt{\dfrac{5}{7}\times\dfrac{5}{7}} \\\\&=\sqrt{\bigg(\dfrac{5}{7}\bigg)^2} \\\\&=\dfrac{5}{7}. \end{aligned}\)
Square roots of the same numbers
Square roots of different numbers
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