Which irrational number is between 14 and 18? (1 point)
√15 is an irrational number between 14 and 18.
How many irrational numbers are there between 11 and y 17? (1 point)
There are infinitely many irrational numbers between 11 and 17.
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To find an irrational number between 14 and 18, we can consider the square root of a prime number. Let's choose 17 as our prime number.
Now, calculate the square root of 17:
√17 ≈ 4.123
Therefore, one irrational number between 14 and 18 is approximately 4.123.
To find an irrational number between 14 and 18, we first need to understand what an irrational number is. An irrational number is a real number that cannot be expressed as a fraction of two integers, and its decimal representation goes on forever without repeating.
To find such a number between 14 and 18, we can consider the square roots of perfect squares. We know that the square root of a perfect square is either a whole number or an irrational number.
Let's consider the square root of 16 since it lies between 14 and 18:
√16 ≈ 4
4 is not an irrational number since it can be expressed as the fraction 4/1.
Since the square root of 16 is not an irrational number, let's consider the square root of 17:
√17 ≈ 4.123105625617661
4.123105625617661 is an irrational number since its decimal representation goes on forever without repeating. Therefore, √17 is an irrational number that lies between 14 and 18.