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MATHEMATICS

JAMB 2012 - Question 8

Mathematics 2012 JAMB Past Questions - Question 8: simplify (√6 + 2)² - (√6 + 2)²

simplify (√6 + 2)² - (√6 + 2)²

A: 2√6

B: 4√6

C: 8√6

D: 16√6

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Correct Answer

Explanation

(√6 + 2)² - (√6 + 2)² <√6 + 2) + (√6 – 2 ) <√6 + 2 ) – (√6 – 2)><√6 + 2 √6 – 2 > < 6 + 2 - √6+ 2><√6><4> = 8 √6 = 8 √6 To simplify the expression (√6 + 2)² - (√6 + 2)², we can use the formula for the difference of squares:(a + b)² - (a - b)² = 4abIn this case, let's consider (√6 + 2) as a and (√6 + 2) as b.So, we have:(√6 + 2)² - (√6 + 2)² = 4(√6 + 2)(√6 + 2)Expanding the expression:= 4(√6 * √6 + √6 * 2 + 2 * √6 + 2 * 2)= 4(6 + 2√6 + 2√6 + 4)= 4(10 + 4√6)= 40 + 16√6Therefore, (√6 + 2)² - (√6 + 2)² simplifies to 40 + 16√6.