Question

Simplify the expression 2√6 -5√54

Answer 1

Answer:

- 13$\sqrt{6}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying $\sqrt{54}$

$\sqrt{54}$

= $\sqrt{9(6)}$

= $\sqrt{9}$ × $\sqrt{6}$

= 3$\sqrt{6}$

Then

2$\sqrt{6}$ - 5$\sqrt{54}$

= 2$\sqrt{6}$ - 5 (3$\sqrt{6}$ )

= 2$\sqrt{6}$ - 15$\sqrt{6}$

= - 13$\sqrt{6}$