Question

Find the square root of decimal 5.76.

• A. $4.2$
• B. $2.4$
• C. $18.4$
• D. $4.23$

Answer 1

The correct option is B $2.4$

$576=2^6\times 3^6=(2^3\times 3{)}^2=(24{)}^2$

$100=2^2\times 5^2=(2\times 5{)}^2=(10{)}^2$

$\sqrt{5.76}=\sqrt{\frac{576}{100}}$=$\sqrt{(\frac{24}{10}{)}^2}$

$=\frac{24}{10}=2.4$