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What is the set of numbers to which #-sqrt22# belong?

Answer 1

The #-sqrt22# is equal to #-sqrt22=-sqrt(2*11)=-(sqrt2*sqrt11)#

Hence #sqrt2# , #sqrt11# are irrationals , #-sqrt22# is irrational.

When a number like #sqrta# can simplify to the form #p/q# where #p,q# where are natural number then it is called rational.

For example #-sqrt9=-sqrt(3^2)=-3#

Of course irrational numbers belong to the set of real numbers like the rationals , integers and natural numbers.

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Answer 2

Mila Anderson

The set of numbers to which (-\sqrt{22}) belongs is the set of real numbers ((\mathbb{R})), since (-\sqrt{22}) is a real number.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.