Simplification 5/2 - √3 we get _____?
- 10 + 5√3
- 3 + 10√3
- 10 + 2√3
- None of these
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
Related MCQs
- 2x² + 4 = 9x
- 2x² + 9 = 4x
- 2x² + 9 = 4x
- x² + 4 = 9x
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