Is 221a245-221a125 Irrational Or Rational Explain

Is √245-√125 irrational or rational explain

 

Answer:

√245  -  √125  when simplified is an irrational number.

Their difference is 2√5 which is a number with non-repeating and non-terminating decimals.

Step-by-step explanation:

√245  -  √125

Factor the each radicand where one of the factors is a perfect square.

√(49)(5)  -  √(25)(5)

Simplify:

7√5   -  5√5

= 2√5

2√5 is an irrational number because it cannot be simplified to fraction or rational numbers.

Irrational numbers are numbers with non-repeating and non-terminating decimals.


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