Question

If (3+√7)/(3−√7) = a+b √7. Find the value of a and b.​

Answer 1

3 + √7 ÷ 3 - √7

Multiply 3 + √7 on both numerator & dominator .

( 3 + √7 ) ² ÷ ( 3 - √7 ) ( 3 + √7 ) = a + b √7

⇒ 9 + 7 + 6√7 ÷ 3 ² - √7 ² = 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 Comparing both sides ;

a = 8 ; b = 3

Answer 2

Step-by-step explanation:

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