Answer the following fast
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Answer:
a=21/11
b=59/11
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⠀⠀ || ✪.Solution.✪ ||
➠ (3-5√5)/(3+2√5)
( rationalization of denominator )
➠ ( 3-5√5)(3-2√5)/(3+2√5)(3-2√5) ★ Using,(a+b)(c+d) = (ac+ad+bc+bd) ]
★ (a+b)(a-b) = a² - b²
➠ [9 - 3 × 2√5 - 5√5 × 3 + 5√5 × 2√5 ]/[3² - (2√5)²]
➠ [9 - 6√5 - 15√5 + 10 × 5]/[9 - 4 × 5 ]
➠ ( 59 - 21√5 )/(-11)
➠ -59/11 + 21√5/11
Or,
➠ 21√5/11 - 59/11
[ Compare with a√5 - b ]
➠ a = 21/11 and, b = 59/11
____________________
Thus:-
- Value of a = 21/11
- Value of b = 59/11
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