Question

√3 x √16 combine and simplify these radicals

A. 3 √4
B. 3 √16
C. 16 √3
D. 4 √3

Answer 1

√3 x √16=√3(4)=4√3

Answer: D. 4√3

Answer 2

Answer: D. $4\sqrt{3}$

Step-by-step explanation:

The given radicals : $\sqrt{3}\times\sqrt{16}$

According to the property of radicals :

$\sqrt[n]{x^n}=x$

Therefore, $\sqrt{3}\times\sqrt{16}=\sqrt{3}\times\sqrt{4^2}$

$=\sqrt{3}\times4\\\\=4\sqrt{3}$

Therefore, $\sqrt{3}\times\sqrt{16}=4\sqrt{3}$

Thus, D is the right answer.