Answer:
a x n = n √ a = n = √ a a x = n = √ a a 144 v ⋅ 3 ⋅ V = 432 v V
Step-by-step explanation:
n = √ a a Multiply 3 by 144 . 432 v V
List all of the solutions. a x n = n √
a = n = √ a
a x = n = √ a a 144 v ⋅ 3 ⋅ V = 432 v V
Answer: 24[tex]\sqrt{6}[/tex]
Step-by-step explanation:
1. Identify that 4[tex]\sqrt{18}[/tex] is equal to 4 times [tex]\sqrt{2}[/tex] times [tex]\sqrt{3^2}[/tex]. [tex]\sqrt{3^2}=3[/tex]. Our rational numbers are now 4 and 3. 4 times 3 equals 12, and we have a remainder of [tex]\sqrt{2}[/tex]. Knowing [tex]4\sqrt{18}=12\sqrt{2}[/tex] makes the second step much easier.
2. A fast approach for these types of problems is to multiply the rational numbers together and multiply the irrational numbers separately until the last step. 2 times 12 equals 24. [tex]\sqrt{3}[/tex] times [tex]\sqrt{2}[/tex] equals [tex]\sqrt{6}[/tex].
3. Now we must simply multiply the whole number with the irrational number. 24 times [tex]\sqrt{6}[/tex] equals 24[tex]\sqrt{6}[/tex].
