Question

Simplify: (i) 5√7 x 3√14

Answer 1

5√7 × 3√14 = 5 × 3√(7 × 14)

= 15√98

= 105√2

Answer 2

Answer:

105$\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

5$\sqrt{7}$ × 3$\sqrt{14}$

= 5 × 3 × $\sqrt{7(14)}$

= 15 × $\sqrt{98}$

= 15 × $\sqrt{49(2)}$

= 15 × $\sqrt{49}$ × $\sqrt{2}$

= 15 × 7 × $\sqrt{2}$

= 105$\sqrt{2}$