which of the following results in this product is rational choose all that apply
pie x 2
v2 x v5
14+31
v16 x v36
6.2 x 5.26^-
The results that are rational are:
14 + 31 = 45
√16 x √36 = 4 x 6 = 24
place the following numbers in order from least to greatest
v7, -0.34, -7/3, 1.16, v3
Ordering the numbers from least to greatest:
-7/3 < -0.34 < √3 < 1.16 < √7
To determine which of the following results in a rational product, let's analyze each expression:
1. π x 2:
The product of π (pi) and 2 is an irrational number because π is irrational.
2. √2 x √5:
The product of √2 (square root of 2) and √5 (square root of 5) is also an irrational number because both √2 and √5 are irrational.
3. 14 + 31:
The sum of 14 and 31 is a rational number, specifically 45.
4. √16 x √36:
The product of √16 (square root of 16) and √36 (square root of 36) is a rational number because both √16 and √36 are rational (equal to 4 and 6, respectively).
5. 6.2 x 5.26^(-1):
The expression 5.26^(-1) represents the reciprocal of 5.26, which is 1/5.26. The product of 6.2 and 1/5.26 is a rational number.
Therefore, the expressions that result in a rational product are:
- 14 + 31 = 45
- √16 x √36
- 6.2 x 5.26^(-1)