Question

Find ‘a’ and ‘b’ if 3+√73−√7 - 3−√73+√7 = a+b√7​

Answer 1

Answer:

Answer:

Given:

We have been given that 3+√7/3-√7 = a+b√7.

To Find:

We need to find the values of a and b.

Solution:

We have been given that 3+√7/3-√7 = a+b√7.

Inorder to rationalize this, we need yo multiply by 3+√7 in both numerator and denominator.

=> (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 [Taking 2 as common]

=> 8 +3√7 = a + b√7

Now, on comparing both sides, we get a = 8 and b = 3.

Therefore, a = 8 and b = 3.

Step-by-step explanation:

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