28. Find the value of a & b
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Step-by-step explanation:
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Step-by-step explanation:
5 + 2 \sqrt{3} \div 7 + 4 \sqrt{3}5+23÷7+43
Rationalise the denominator...
(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3} ) \div (7 + 4 \sqrt{3} )(7 - 4 \sqrt{3})(5+23)(7−43)÷(7+43)(7−43)
(35 - 20 \sqrt{3} + 14 \sqrt{3} - 24) \div (49 - 48)(35−203+143−24)÷(49−48)
(11 - 6 \sqrt{3} ) \div 1(11−63)÷1
11 - 6 \sqrt{3}11−63
Now compare it with
a - b \sqrt{3} = 11 - 6 \sqrt{3}a−b3=11−63
So a = 11 and b = 6
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