Question

What is π, √3, 2√3, √5 in decimal (show work)?

a) π ≈ 3.1416, √3 ≈ 1.732, 2√3 ≈ 3.464, √5 ≈ 2.236
b) π ≈ 3.1416, √3 ≈ 1.732, 2√3 ≈ 2.236, √5 ≈ 3.464
c) π ≈ 3.1416, √3 ≈ 3.464, 2√3 ≈ 2.236, √5 ≈ 1.732
d) π ≈ 3.1416, √3 ≈ 2.236, 2√3 ≈ 3.464, √5 ≈ 1.732

Answer 1

π, √3, 2√3, √5 in decimal is π ≈ 3.1416, √3 ≈ 1.732, 2√3 ≈ 3.464, √5 ≈ 2.236

Therefore, the correct answer is option a) π ≈ 3.1416, √3 ≈ 1.732, 2√3 ≈ 3.464, √5 ≈ 2.236

Step-by-step explanation:

To find the decimal approximations, we evaluate each expression:

1.
`\(\pi \approx 3.1416\) (standard approximation of π)`

2.
`\(√(3) \approx 1.732\)` (approximated to three decimal places)

3.
`\(2√(3) \approx 3.464\)`(twice the value of
`\(√(3)\)`)

4.
`\(√(5) \approx 2.236\)` (approximated to three decimal places)

Therefore, the correct answer is option a), as it accurately represents the decimal approximations of the given mathematical expressions.

Decimal approximations are often used to simplify irrational numbers for practical calculations. Understanding the decimal values of common mathematical constants and roots is essential in various fields, including mathematics, physics, and engineering.

Therefore, the correct answer is option a) π ≈ 3.1416, √3 ≈ 1.732, 2√3 ≈ 3.464, √5 ≈ 2.236