Answer:
5 sqrt2.
Step-by-step explanation:
5 sqrt 8 - sqrt 18 - 2 sqrt 2
= 5 sqrt(4*2) - sqrt(9*2) - 2 sqrt2
= 5 sqrt4*sqrt 2 - sqrt 9*sqrt 2 - 2 sqrt2
= 10 sqrt2 - 3 sqrt2 - 2 sqrt 2
= 5 sqrt2.
Answer:
5[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]
Simplify each radical
5[tex]\sqrt{8}[/tex]
= 5[tex]\sqrt{4(2)}[/tex]
= 5 × [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex]
= 5 × 2 × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex]
-----------------------------------------------------------
[tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
-----------------------------------------------------------
Putting it all together
10[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{2}[/tex] - 2[tex]\sqrt{2}[/tex]
Collect like terms
= [tex]\sqrt{2}[/tex] (10 - 3 - 2 ) = 5[tex]\sqrt{2}[/tex]
