To find a rational number between √7 and √8, we need to express both square roots as fractions.
The square root of 7 can be approximated as √7 ≈ 2.646.
The square root of 8 can be approximated as √8 ≈ 2.828.
Let's find a rational number between √7 and √8. We'll use the fraction 9/4, which is 2.25.
The square of 2.25 is 2.25² = 5.0625.
Since 5 is between √7 and √8, we can express √5 as a fraction.
The fraction form of √5 can be written as (√5)(√5)/(√5) = 5/√5 = (5/√5) * (1/1) = 5/√5 = 5/√5 * (√5/√5) = 5√5 / 5 = √5.
Therefore, a rational number between √7 and √8 is √5, which can also be written as 5/√5.
What is a rational number within the nominator 07 that is between seven square root, and eight square root
1 answer