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

Before reducing the radical what number is under the square root symbol A81 B144 C50 D63 class=

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Answer:

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

Step-by-step 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

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