If root 5 = 2.236 and root 3 = 1.732, then find the value of 2/root5+root3 + 7/root5-root3
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Answer:
Step-by-step explanation:
2/(√5+√3)+7/(√5-√3)
={2(√5-√3)+7(√5+√3)}/(√5+√3)(√5-√3)
=(2√5-2√3+7√5+7√3)/{(√5)²-(√3)²}
=(9√5-5√3)/(5-3)
={(9×2.236)-(5×1.732)}/2
=(20.124-8.66)/2
=11.464/2
=5.732 Ans.
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