How many integers are between 5 roots of 7 and 7 roots of 5?

Ciolan3u 2022-09-14 Answered
How many integers are between 5 roots of 7 and 7 roots of 5?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (2)

Cameron Benitez
Answered 2022-09-15 Author has 17 answers
To answer the question of the problem, you need to add the factors before the root under the root sign, then find between these numbers such numbers from which the root is extracted (that is, numbers that are perfect squares) and count the number of these numbers:
5 7 = 5 2 7 = 25 7 = 175
7 5 = 7 2 5 = 49 5 = 245
Between the numbers 175 and 245 are the numbers 196 = 14 2 and 225 = 15 2 , i.e. between the numbers 5 7 and 7 5 there are only two integers.
Answer: 2.
Not exactly what you’re looking for?
Ask My Question
incibracy5x
Answered 2022-09-16 Author has 21 answers
Answer:
Between these roots lie two integers 14 and 15.
Step by step explanation:
Let's introduce the coefficients under the roots.
5 7 = 25 7 = 175
7 5 = 49 5 = 245
Between these numbers there are two integers 196 = 14 and 225 = 15
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more