The rationalization factor of 2 + √5 is . a. √2 + 5 b. √2 − 5 c. 2 − √5 d. 2 − √3
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Answer:
Correct option is
B
352
Rationalising factor is a term with which a term is multiplied or divided to make the whole term rational.
Here, 235 can be written as 2×51/3.
In order to make it rational, we need to eliminate the surd.
Hence multiply it with a term so as to rationalise 35.
Multiplying by 352 we get, 2×51/3×52/3=2×53/3=10, hence rationalised.
Therefore, 352 is the required rationalising factor.
Hence, option B is correct.
Step-by-step explanation:
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c. 2 − √5
We know that rationalization factory for a + √b is a - √b .
Hence rationalization factor of 2 + √5 is 2 - √5
Step-by-step explanation:
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