# The square root of a number is between 7 and 8. Which could be the number? *

snowlovelydayM 2020-12-17 Answered
The square root of a number is between 7 and 8. Which could be the number? *
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

Solve your problem for the price of one coffee

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

## Expert Answer

Clara Reese
Answered 2020-12-18 Author has 120 answers

Let x be the number. If the square root of the number is between 7 and 8, then $7<\sqrt{x}<8$.
Squaring all sides of the inequality gives ${7}^{2}<{\sqrt{x}}^{2}<{8}^{2}$, which simplifies to $49x can then be any number such that $49.

###### Not exactly what you’re looking for?

Expert Community at Your Service

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

Solve your problem for the price of one coffee

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