Question

Before reducing the radical, what number is under the square root symbol? A.81 B.144 C.50 D.63

Answer 1

D. 63

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

• a is a leg
• b is another leg
• c is the hypotenuse

Explanation:

Step 1: Identify Variables

Leg a = 9

Leg b = b

Leg c = 12

Step 2: Solve for b

1. Substitute in variables [Pythagorean Theorem]: 9² + b² = 12²
2. [Subtraction Property of Equality] Isolate b term: b² = 12² - 9²
3. Evaluate exponents: b² = 144 - 81
4. Subtract: b² = 63
5. [Equality Property] Square root both sides: b = √63