Course Outline
Math Progress
0%
📈 Advanced Math~35% of SAT Math
Radical Expressions
Work with square roots, cube roots, and radical equations.
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Worked Example
Practice Problems
Problem
√72
Problem
1/√3
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SAT Strategies
Pro Tips & Shortcuts
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SAT Tip: Simplify radicals by factoring out perfect squares.
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SAT Tip: Memorize perfect squares up to 144 for quick simplification.
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SAT Tip: Simplify all radicals first - they might become like radicals after simplification.
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SAT Tip: Look for the largest perfect square factor to minimize steps.
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SAT Tip: Multiplying by √a/√a is multiplying by 1, so it doesn't change the value.
⚡ Shortcut
√50 = √(25·2) = √25 · √2 = 5√2
⚡ Shortcut
Factor tree method: break down the number until you find perfect squares.
⚡ Shortcut
Think of √3 as a variable: 2√3 + 5√3 = 7√3, just like 2x + 5x = 7x.
⚡ Shortcut
72 = 36 × 2, and 36 = 6², so √72 = 6√2.
⚡ Shortcut
Conjugate of (a + √b) is (a - √b). Their product has no radicals.