Which irrational number is between 14 square root and 18 square root
To find an irrational number between √14 and √18, we can calculate the square root values and choose a number between them.
√14 ≈ 3.74
√18 ≈ 4.24
A number that lies between these two square roots is 4.
Wrong
Apologies for the mistake. Let's recalculate.
√14 ≈ 3.74
√18 ≈ 4.24
To find an irrational number between these two, we can take the average of these two square roots:
(√14 + √18)/2 ≈ (3.74 + 4.24)/2 ≈ 8.98/2 ≈ 4.49
Therefore, an irrational number between √14 and √18 is approximately 4.49.
Is it 13 square root
10 square root
Yes, you are correct.
√14 ≈ 3.74
√18 ≈ 4.24
Between these two square roots, we can find an irrational number by taking the average:
(√14 + √18)/2 ≈ (3.74 + 4.24)/2 ≈ 8.98/2 ≈ 4.49
So, an irrational number between √14 and √18 is approximately 4.49.
What is it squared
If the irrational number between √14 and √18 is approximately 4.49, then squaring it will give us:
(4.49)^2 ≈ 20.1401
Therefore, the square of the irrational number between √14 and √18 is approximately 20.1401.
Is the answer 13 squared
Apologies for the confusion. I misunderstood your question earlier.
If we are looking for the square of the irrational number between √14 and √18, let's first find that number.
The irrational number between √14 and √18 is (√14 + √18)/2.
(√14 + √18)/2 ≈ (3.74 + 4.24)/2 ≈ 8.98/2 ≈ 4.49
Now, let's square this number:
(4.49)^2 ≈ 20.1401
Therefore, the square of the irrational number between √14 and √18 is approximately 20.1401.