Math, asked by sandeshsssssss, 4 months ago

find the value of a and b if 3+✓7/ 3-✓7 =a+b ✓7​

Answers

Answered by nehaimadabathuni123
0

3+√7 / 3-√7

multiply 3+√7 on both numerator and denomerator

(3+√7)² / (3-√7)(3+√7) = a+b√7

⇒9 + 7 + 6√7 / 3² -√7² = a+b√7

⇒16+ 6√7 / 9-7 =a+b√7

⇒16+ 6√7 / 2 =a+b√7

⇒2(8+3√7)/2 =a+b√7

⇒8 +3√7 =a+b√7

on compairing both sides

a=8

b=3

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