Simplification 5/2 - √3 we get _____?
Maths / Algebra MCQs — Multiple-choice practice
- A. 3 + 10√3
- B. 10 + 2√3
- C. None of these
- D. 10 + 5√3
Correct answer
10 + 5√3
Explanation
Explanation To simplify 5/(2 - √3), rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator (2 + √3): Step 1: Multiply by the conjugate (5 / (2 - √3)) * ((2 + √3) / (2 + √3)) = (5(2 + √3)) / ((2 - √3)(2 + √3)) Step 2: Simplify the denominator (2 - √3)(2 + √3) = 2² - (√3)² = 4 - 3 = 1 Step 3: Simplify the expression (5(2 + √3)) / 1 = 10 + 5√3
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