Question

Which shows the expressions in the order they would appear on a number line from least to greatest?

a.17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3
b.3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9
c.3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30
d.17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6

Answer 1

17/9 = 1.89
sqrt 6 = 2.45
sqrt 15 = 3.87
sqrt 30 = 5.48
3^3 = 27

so from least to greatest, ur answer is A

Answer 2

Option A is correct.

Explanation:

Number given in options are 17/9 , √6 , √15 , √30 , 3³

We need to arrange them from least to greatest that is in increasing order.

First we find the value of each number.

Value of 17/9 = 1.89

Value of √6 = 2.45

Value of √15 = 3.87

Value of √30 = 5.48

Value of 3³ = 27

So, 1.89 < 2.45 < 3.87 < 5.48 < 27

⇒ 17/9 < √6 < √15 < √30 < 3³

Therefore, Option A is correct.