Question

Which expression is equivalent to 3 square root of 50 times square root of 22

Answer 1

Answer:

30$\sqrt{11}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying 3$\sqrt{50}$

= 3($\sqrt{25(2)}$ )

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

= 15$\sqrt{2}$

Thus

3$\sqrt{50}$ × $\sqrt{22}$

= 15$\sqrt{2}$ × $\sqrt{22}$

= 15 × $\sqrt{2(22)}$

= 15 × $\sqrt{44}$

= 15 × $\sqrt{4(11)}$

= 15 × 2$\sqrt{11}$

= 30$\sqrt{11}$