Math Problem Statement
Simplify the expression: sqrt((99^2 + 99) / 99)
Solution
The given mathematical expression is:
Step-by-Step Solution:
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Simplify the expression inside the square root:
Now substitute this into the expression:
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Simplify the fraction:
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Apply the square root:
Final Answer:
Would you like further clarification on any part of this solution?
Related Questions:
- How do you simplify expressions with square roots?
- What are some shortcuts for squaring numbers like 99?
- How do you factor numbers quickly to simplify expressions like this one?
- Can this expression be solved using algebraic identities?
- How would you approach this problem if 99 were replaced by another number?
Tip:
When simplifying square root expressions, always simplify the inside as much as possible before applying the square root.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Radicals
Quadratic Numbers
Fractions
Formulas
a^2 = a * a
Simplifying fractions: (a^2 + a) / a = a + 1
Square root formula: sqrt(x)
Theorems
Basic properties of square roots and exponents
Suitable Grade Level
Grades 8-10