If a and find 3+2 root 7 by 5 +3 root 7 = a+b = root 7
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Answer:Solution:
LHS = (√7-√3)/(√7+√3)
multiply numerator and denominator by (√7-√3),we get
= [(√7-√3)(√7-√3)]/[(√7+√3)(√7-√3)]
= (√7-√3)²/[(√7)²-(√3)²]
= [(√7)²+(√3)²-2(√7)(√3)]/(7-3)
= (7+3-2√21)/4
= (10-2√21)/4
= 10/4 -(2√21)/4
= 5/2 - √21/4
= a-b√21
Therefore,
a = 5/2 , b = 1/4
Step-by-step explanation:
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