Math Problem Statement
√56
Solution
The square root of 56 is approximately:
Since 56 is not a perfect square, the square root is an irrational number, meaning it cannot be expressed as a simple fraction. It can also be simplified as follows:
Thus, the simplified form is , and the decimal approximation is about 7.483.
Would you like more details or have any questions?
Here are five related questions to explore further:
- What is the square root of 14 in simplified form?
- How do you calculate the square root of non-perfect squares?
- What are perfect squares, and how do they relate to simplifying square roots?
- Can you simplify in a similar way?
- How do you approximate square roots without a calculator?
Tip: When simplifying square roots, look for perfect square factors inside the radical sign to simplify the expression.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Simplification of Radicals
Irrational Numbers
Formulas
√(a × b) = √a × √b
Theorems
Properties of Square Roots
Suitable Grade Level
Grades 7-10