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Serga [27]
3 years ago
13

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

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

D. 63

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

<u>Trigonometry</u>

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

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Leg <em>a</em> = 9

Leg <em>b</em> = <em>b</em>

Leg <em>c</em> = 12

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                          9² + b² = 12²
  2. [Subtraction Property of Equality] Isolate <em>b</em> 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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