Rationalize the denominator in 5+2√3/7+4√3 and find the values for the rational no. a and b
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5+2√3 7-4√3
----------- × ---------------
7+4√3. 7-4√3
5×(7 - 4√3) + 2√3 ×(7-4√3)
=. -------------------------------------------
(7)² - (4√3)²
35 - 20√3 + 14 √3 - 8 √3²
= ------------------------------------------
49 – 16 √3²
35 –6√3 –8×3
= ---------------------------------
49 – 16 × 3
35 – 24 –6√3
= ---------------------------
49–48
=11–6√3
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