IF ROOT 5+ ROOT 3 DIVIDED BY ROOT 5 -ROOT 3 = A+ ROOT 15 B ,FIND THE VALUES OF A AND B
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Answered by
55
root5 + root 3 / root5 - root3 => A + B root15
rationalize , ..... (rt5 + rt3 )^2 / (rt5)^2 - (rt3)^2
=> 5 + 2rt15 + 3 / 5 - 3
8 + 2rt15 / 2 => 2( 4 + rt15 ) / 2
2 gets cancel by division so,
4 + rt15 = A + B rt15
therefore, A = 4 and B = 1
rationalize , ..... (rt5 + rt3 )^2 / (rt5)^2 - (rt3)^2
=> 5 + 2rt15 + 3 / 5 - 3
8 + 2rt15 / 2 => 2( 4 + rt15 ) / 2
2 gets cancel by division so,
4 + rt15 = A + B rt15
therefore, A = 4 and B = 1
Answered by
3
Answer:
Step-by-step explanation:
A=4,B=1
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