Question

Find all square roots of the number or write no square roots. Check the results by squaring each root. $$0.09$$

Short answer

The square roots of 0.09 are \(+0.3\) and \(-0.3\).

Step-by-step solution

Determine the square roots

A square root of a number \(x\) is a value that, when multiplied by itself, gives \(x\). In this case, both \(+0.3\) and \(-0.3\) are square roots of \(0.09\), since \((+0.3)^2\) equals \(0.09\) and \((-0.3)^2\) also equals \(0.09\).

Verify the square roots

Check if the obtained values are indeed the roots by squaring each root. Squaring \(+0.3\), we get \(+0.3 * +0.3 = 0.09\), and squaring \(-0.3\), we get \(-0.3 * -0.3 = 0.09\). Therefore, both \(+0.3\) and \(-0.3\) are the square roots of \(0.09\).