Question

Multiply and simplify completely

√6 x 3√54

Answer 1

Answer:

54

Step-by-step explanation:

using the rule of radicals

$\sqrt{ab}$ = $\sqrt{a}$ × $\sqrt{b}$ and $\sqrt{a}$ × $\sqrt{a}$ = a , then

$\sqrt{6}$ × 3$\sqrt{54}$

= $\sqrt{6}$ × 3 × $\sqrt{9(6)}$

= $\sqrt{6}$ × 3 × $\sqrt{9}$ × $\sqrt{6}$

= $\sqrt{6}$ × $\sqrt{6}$ × 3 × 3

= 6 × 9

= 54

Answer 2

${ \qquad\qquad\huge\underline{\boxed{\sf Answer}}}$

Here's the solution ~

$\qquad \sf  \dashrightarrow \: \sqrt{6} \times 3 \sqrt{54}$

$\qquad \sf  \dashrightarrow \: \sqrt{2 \times 3} \times \sqrt{2 \times {3}^{3} }$

$\qquad \sf  \dashrightarrow \: \sqrt{ {2}^{2} \times {3}^{4} }$

$\qquad \sf  \dashrightarrow \:2 \times {3}^{2}$

$\qquad \sf  \dashrightarrow \:2 \times 9$

$\qquad \sf  \dashrightarrow \:18$