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Question
State with reason, whether the following is a surd.
`root(4)(250) root(4)(40)`
Give Reasons
Sum
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Solution
`root(4)(250) root(4)(40)` is not a surd
Reason:
`root(4)(250) xx root(4)(40)`
= `root(4)(250 xx 40)`
= `root(4)(10000)`
10000 = 104,
Perfect fourth power,
So `root(4)(10000) = 10` rational.
Not a surd.
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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]
