- #1
Michael_Light
- 113
- 0
Homework Statement
Prove that
Homework Equations
The Attempt at a Solution
I couldn't prove this... Can anyone help me? Thanks...
Prove that it is smaller than 6
- Thread starter Michael_Light
- Start date
In summary, the conversation is about proving a statement and the use of squaring both sides to solve the problem. The conversation also suggests leaving the solution in a simplified form for a cleaner presentation.
Prove that
I couldn't prove this... Can anyone help me? Thanks...
- #2
stallionx
- 100
- 0
Michael_Light said:
Since both sides are positive take squares of them
- #3
Michael_Light
- 113
- 0
stallionx said:
By squaring both sides, i stuck at sqrt20 < 4.5 , how do i proceed?
stallionx said:
Sorry but i can't get you...
- #4
Saitama
- 4,243
- 93
If you directly go by solving the square roots of 10 and 2, what you get is something 5.99 which is less than 6. 
- #5
uart
Science Advisor
- 2,795
- 21
Square both sides again. That is, square 4.5 and show that it is equal to 20.25Michael_Light said:
It would probably look a bit nicer though if you left it as [itex]2 \sqrt{20} < 9[/itex] before squaring.
1. How can we prove that a number is smaller than 6?
In order to prove that a number is smaller than 6, we can use mathematical reasoning and evidence. This can include comparing the number to 6, using inequalities, or breaking the number down into smaller units.
2. What is the significance of proving that a number is smaller than 6?
Proving that a number is smaller than 6 can have various implications in different fields of science. For example, in physics, it can help us understand the size of objects or particles, while in mathematics, it can help us solve equations and inequalities.
3. Can we prove that all numbers are smaller than 6?
No, we cannot prove that all numbers are smaller than 6 because there are infinitely many numbers and some of them are greater than 6. However, we can prove that a specific number is smaller than 6 using mathematical methods.
4. How does proving a number is smaller than 6 relate to scientific research?
In scientific research, we often use numbers to measure and describe phenomena. Proving that a number is smaller than 6 can help us accurately quantify and understand the properties of the subject we are studying.
5. Are there different ways to prove that a number is smaller than 6?
Yes, there are various ways to prove that a number is smaller than 6. Some of these methods may involve using mathematical equations and inequalities, while others may require experimental evidence or qualitative observations.
Similar threads
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help
-
Precalculus Mathematics Homework Help