Math Problem Statement
(√2 - √3)^2 = ?
A. 5 - 2√6
B. 5 - √6
C. 1 - 2√6
D. 1 - √2
E. 1
Solution
The image contains a mathematical expression that needs to be solved. The question appears to be:
The possible answers provided are:
A.
B.
C.
D.
E. 1
Let's expand the given expression and simplify it:
First, calculate each term:
Thus, the expanded form is:
Therefore, the correct answer is A.
Would you like any further details or clarification on this solution?
Here are 5 related questions:
- How do you expand binomials like ?
- What is the rule for multiplying square roots, like ?
- Can you apply the same steps for ?
- How does simplifying surds (like ) work in general?
- Why is the middle term rather than something else?
Tip: Always remember to apply the distributive property carefully when squaring binomials involving roots.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents and Radicals
Binomial Expansion
Formulas
(a - b)^2 = a^2 - 2ab + b^2
Theorems
Distributive Property
Simplification of Radicals
Suitable Grade Level
Grades 9-11