The conjugate pair of binomial surd 7 + √3 is 7 - √3 true or false
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Answer:
We know that the when sum of two terms and the difference of the same two terms are multiplied, the product is always a rational number.
Let us apply this concept to a binomial surd (3
7
+7
3
).
When we multiply this with the difference of the same two terms, that is, with (3
7
−7
3
), the product is:
(3
7
+7
3
)(3
7
−7
3
)=(3
7
)
2
−(7
3
)
2
=(9×7)−(49×3)=63−147=−84(∵a
2
−b
2
=(a+b)(a−b))
Since −84 is a rational number.
Hence, (3
7
−7
3
) is the conjugate of (3
7
+7
3
).
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