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Juliette [100K]
3 years ago
11

How √225 and √223 are different by their nature ??

Mathematics
1 answer:
denis23 [38]3 years ago
5 0
Here, we know, √225 = 25 (perfect squared)
whereas √223 is not a perfect squared.

So, √225 would be "Rational" whereas √223 would be "Irrational" by the nature.

Hope this helps!
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

1. (-2^2)^{-6} ÷ (2^{-5})^{-4} :

= \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}

2. 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } :

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3. (-2^{-4}).(2^2)^0 :

= (-2^4)^2 \times 1 = -2^8

4. (2^2).(2^3)^{-3} :

= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}

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3 years ago
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dsp73

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