Question

Which square root is NOT a whole number?

a. 144B) 156C) 169D) 1962) Solve for x.x3 = 216
a. 6
b. 7
c. 9
d. 12 3) Evaluate: 216A) 3
b. 6
c. 8
d. 12 4) Solve x2 = 10
a. x = ±5
b. x = ±100
c. x = ±3.5
d. x = ±105) Solve x3 = 27
a. x = 3
b. x = 9
c. x = 19,683
d. x = 3/3

Answer 1

`1)\\a.\ √(144)=12\in\mathbb{Z}\\b.\ √(156)\\otin\mathbb{Z}\\c.\ √(169)=13\in\mathbb{Z}\\d.\ √(1962)\\otin\mathbb{Z}\\\\2)\\x^3=216\to x=\sqrt[3]{216}\to x=6\to a.\\\\3)\\\sqrt[3]{216}=6\to b.\\\\4)\\x^2=10\to x=\pm√(10)\\\\5)\\x^3=27\to x=\sqrt[3]{27}\to x=3\to a.`