Simplify 3√45 – 12√20 + 16√5

JAMB Mathematics 2023 59 views

Simplify 3√45 – 12√20 + 16√5

  1. √5 ✓
  2. 5√5
  3. 3√5
  4. 7√5

Explanation

Step 1: Simplify √45
45 = 9 × 5
√45 = √(9 × 5) = √9 × √5 = 3√5

Step 2: Simplify √20
20 = 4 × 5
√20 = √(4 × 5) = √4 × √5 = 2√5

Step 3: Substitute back
3√45 = 3 × 3√5 = 9√5
12√20 = 12 × 2√5 = 24√5
16√5 remains as is

Step 4: Combine like terms
9√5 – 24√5 + 16√5
= (9 – 24 + 16)√5
= 1√5
= √5

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