Identify square root of 2 as either rational or irrational, and approximate to the tenths place. (4 points)
Rational: square root of 2 ≈ 1.5
Irrational: square root of 2 ≈ 1.5
Rational: square root of 2 ≈ 1.4
Irrational: square root of 2 ≈ 1.4
Irrational: square root of 2 ≈ 1.4
Identify square root of 11 as either rational or irrational, and approximate to the tenths place. (4 points)
Rational: square root of 11 ≈ 3.3
Rational: square root of 11 ≈ 3.4
Irrational: square root of 11 ≈ 3.3
Irrational: square root of 11 ≈ 3.4
Irrational: square root of 11 ≈ 3.3
The square root of 2 is an irrational number. When approximated to the tenths place, the square root of 2 is approximately 1.4.
The square root of 2 is actually an irrational number. To determine if a number is rational or irrational, we need to consider its decimal representation.
To find an approximation of the square root of 2 to the tenths place, we can use a calculator or a mathematical method called the square root algorithm. However, it is important to note that no matter how many decimal places we compute, the square root of 2 will never terminate or repeat, indicating that it is an irrational number.
Approximating it to the tenths place, we have:
√2 ≈ 1.4
Therefore, the correct answer is: Irrational: square root of 2 ≈ 1.4