Rationalize the denominator: 8
√11−√7
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Given:
8 / √11−√7
To find:
Rationalize the denominator: 8 / √11−√7
Solution:
From given, we have,
8 / (√11−√7)
mulitply and divide by √11 + √7
[8 / (√11−√7)] × [(√11 + √7) / (√11 + √7)]
we use the formula,
(a - b) × (a + b) = a² - b²
(√11 + √7) × (√11 - √7) = (√11)²- (√7)² = 11 - 7 = 4
8 × (√11 + √7) / 4
2 × √11 + √7
Therefore, we have, 2 (√11 + √7)
Answered by
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Answer:
Answer is 2(✓11+✓7)
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