Which irrational numbers between 14 square root, and 18 square root
The irrational numbers between √14 and √18 can be found by considering the square roots of numbers that lie between 14 and 18.
To identify these irrational numbers, we can calculate the square roots of numbers like 15, 16, and 17, and determine if they are between √14 and √18.
For example:
√15 ≈ 3.873
√16 = 4
√17 ≈ 4.123
All three square roots mentioned above (√15, √16, √17) lie between √14 and √18. Therefore, any real number between these square roots is also an irrational number between √14 and √18.
To find the irrational numbers between 14√ and 18√, we need to find an irrational number between these two values.
Let's start by simplifying the square roots:
14√ = √14
18√ = √18
To determine an irrational number between these two values, we can look for a perfect square between 14 and 18. The perfect squares between these two values are 16 and 9:
√16 = 4
√9 = 3
Since the square roots of these perfect squares are rational numbers, we can take a number between these two values, such as 3.5, to find an irrational number:
√(14√) = √(√14) ≈ √(3.5) ≈ 1.87
Thus, an irrational number between √14 and √18 is approximately 1.87.