Question

If ${16}^2=256$, then which of the following are perfect squares?

• A. $\sqrt{0.00256}$
• B. $\sqrt{0.0256}$
• C. $\sqrt{3.69-1.13}$
• D. $\sqrt{12.8÷5}$

Answer 1

Answer: (B), (C), (D)

The correct options are
B $\sqrt{0.0256}$
C $\sqrt{3.69-1.13}$
D $\sqrt{12.8÷5}$

${16}^2=256$

$\frac{(16{)}^2}{10000}=0.0256$

$\Rightarrow \sqrt{0.0256}=\frac{16}{100}=0.16$

$3.69-1.13=2.56$

$\frac{12.8}{5}=2.56$

$\Rightarrow \frac{(16{)}^2}{100}=2.56$

$\Rightarrow \sqrt{2.56}=\frac{16}{10}=1.6$

$\sqrt{0.00256}=\frac{\left(16\right)}{\left(100\right)\sqrt{10}}=\frac{0.16}{\sqrt{10}}$