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Step-by-step explanation:
(1) Given that,
- n(A)=15
- n(AUB) =29
- n(A intersection B)=7
- n(B) = ?
By using the formula ,
- n(AUB) = n (A) + n(B) - n( A intersection B)
- n(B) = 29+7-15
- = 36-15
- = 21
2) We have to find the order of the surd ³√7
- A root of a positive real quantity is called a surd.
- A surd with index of root 3 is called a third order surd.
- If x is a positive integer with nth root, then n is called the surd when the value is irrational.
- Hence, we can say In expression n is the order of surd and x is known as radicand.
∴ In the given question, the order of the surd ³√7 is 3
(3) Since, ³√51 = (3×17)⅓
So, ³√51 is a surd.
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Roster Notation: The set of even counting numbers is {2, 4, 6, 8, 10, …}.
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