Math Problem Statement

jawablah pertanyaan nomor 10

Jawablah pertanyaan nomor 10: (√5 - 3)(√5 + 3) = ...

Solution

The solution to question number 10, (53)(5+3)(\sqrt{5} - 3)(\sqrt{5} + 3), simplifies to 4-4.

Would you like further explanation on this?

Here are five related questions to expand on this concept:

  1. How do you simplify expressions with square roots and binomials?
  2. What is the general formula for simplifying (ab)(a+b)(a - b)(a + b)?
  3. Can this method be used with complex numbers?
  4. How do you handle higher powers of square roots in such expressions?
  5. Can we apply a similar method for irrational or decimal values?

Tip: When simplifying (ab)(a+b)(a - b)(a + b), use the difference of squares formula: a2b2a^2 - b^2.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Difference of Squares
Square Roots

Formulas

(a - b)(a + b) = a^2 - b^2

Theorems

Difference of Squares

Suitable Grade Level

Grades 8-10