The value of √.01×sqrt[3].027-0.03 is

The correct answer is Option (3) → 0

Write each decimal as a perfect square or cube before taking the root.

• \(0.01=(0.1)^2\), so \(\sqrt{.01}=0.1\)

• \(0.027=(0.3)^3\), so \(\sqrt[3]{.027}=0.3\)

• The product of the two roots is 0.03, and taking away 0.03 leaves \(0.03-0.03=0\)