Answer:
105[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
5[tex]\sqrt{7}[/tex] × 3[tex]\sqrt{14}[/tex]
= 5 × 3 × [tex]\sqrt{7(14)}[/tex]
= 15 × [tex]\sqrt{98}[/tex]
= 15 × [tex]\sqrt{49(2)}[/tex]
= 15 × [tex]\sqrt{49}[/tex] × [tex]\sqrt{2}[/tex]
= 15 × 7 × [tex]\sqrt{2}[/tex]
= 105[tex]\sqrt{2}[/tex]
