Given:
[tex]54.1 \times \sqrt{15.11} [/tex]
To remove decimal, divide first equation by 10 and second equation by 100
[tex] = > \frac{541}{10} \times \sqrt{ \frac{1511}{100}} [/tex]
Now opening the root,
[tex] = > \frac{541}{10} \times \frac{ \sqrt{1511} }{ \sqrt{100}} [/tex]
[tex] = > \frac{541}{10} \times \frac{ \sqrt{1511} }{ \sqrt{10^{2} }} [/tex]
[tex]= > \frac{541}{10} \times \frac{ \sqrt{1511} }{10} [/tex]
[tex] = > \frac{54 \times \sqrt{1511} }{10 \times 10} [/tex]
[tex] = > \frac{541 \sqrt{1511} }{100} [/tex]
Hence, the answer is [tex]\frac{541 \sqrt{1511} }{100} [/tex]
