Math Problem Statement
what is the square root of 73
Solution
The square root of 73 is approximately:
Since 73 is not a perfect square, its square root is an irrational number. It can be left in its exact form as or approximated as needed.
Would you like a more detailed breakdown of how to estimate square roots?
Related Questions:
- What are some methods to estimate square roots without a calculator?
- How do you determine if a number is a perfect square?
- What is the prime factorization of 73?
- How can we express in terms of continued fractions?
- What is the closest perfect square to 73?
Tip:
If you need a quick estimate for a square root, find the two closest perfect squares. Here, and , so is between 8 and 9.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Irrational Numbers
Approximation
Formulas
Square root function √x
Theorems
Properties of irrational numbers
Square root approximation methods
Suitable Grade Level
Grades 7-9