Respuesta :
Answer:
56√10.
Step-by-step explanation:
7√8 * 4√5
= 28 √40
= 28 √4√10
= 28 * 2√10
= 56√10.
Answer:
56[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
7[tex]\sqrt{8}[/tex] × 4[tex]\sqrt{5}[/tex]
= 7 × 4 × [tex]\sqrt{8(5)}[/tex]
= 28 × [tex]\sqrt{40}[/tex]
= 28 × [tex]\sqrt{4(10)}[/tex]
= 28 × [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex]
= 28 × 2 × [tex]\sqrt{10}[/tex]
= 56[tex]\sqrt{10}[/tex]
