Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the property of radicals
• [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
given
[tex]\sqrt{10}[/tex] × [tex]\sqrt{8}[/tex]
= [tex]\sqrt{10(8)}[/tex]
= [tex]\sqrt{80}[/tex]
[ express 80 as a product of its factors, one being a perfect square, that is
80 = 16 × 5 ]
= [tex]\sqrt{16(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex]
= 4[tex]\sqrt{5}[/tex]
