Question

Please help! show in dept steps

Answer 1

Given:

$54.1 \times \sqrt{15.11}$

To remove decimal, divide first equation by 10 and second equation by 100

$= > \frac{541}{10} \times \sqrt{ \frac{1511}{100}}$

Now opening the root,

$= > \frac{541}{10} \times \frac{ \sqrt{1511} }{ \sqrt{100}}$

$= > \frac{541}{10} \times \frac{ \sqrt{1511} }{ \sqrt{10^{2} }}$

$= > \frac{541}{10} \times \frac{ \sqrt{1511} }{10}$

$= > \frac{54 \times \sqrt{1511} }{10 \times 10}$

$= > \frac{541 \sqrt{1511} }{100}$

Hence, the answer is $\frac{541 \sqrt{1511} }{100}$