Math, asked by putririska4660, 4 months ago

Root a+root b is an irrational number if number root ab is an irrational

Answers

Answered by stutiray40

Step-by-step explanation:

Since p and q are co prime L.H.S. is always fractional and R.H.S. is always integer . If q =1,the equation (¹) is hold good but it was impossible that there was no number whose square is a² +b . This is the contradiction to our assumption. Hence a+√b is an irrational number.

Previous Question

Next Question

Similar questions

Science, 2 months ago

ओजोन क्या है ? (A) गैस है (B) निलम्बन है (C) कोलाइड है (D) इनमें से सभी Ozone is a...

Chinese, 2 months ago

Good morning to everyone ... happy navals. who study in navals National academy please answer or follow me...

English, 2 months ago

The small boy is fond of watering the plants (find - verb, preposition, object).

Social Sciences, 4 months ago

English, 4 months ago

Type of sentence. she has written the exam...

English, 9 months ago

Global warming (a)___________ the phenomenon of increasing average temperature (b)__________ the surface of the earth for the past one to two centuries. Scientists (c)___________ detailed observations since the middle of twentieth century of various weather phenomena like temperatures. They are still doing so. They also (d)________ the related influences on climate. a. (i) was (ii) is (iii) had...

Biology, 9 months ago

name the hormones which stimulate testis. (Detailed answer)...

Biology, 9 months ago

(a) The yeast cells fail to multiply in water but they multiply rapidly in sugar solution. Give one reason for it. (b) Why does bread mould grow profusely on a moist slice of bread but not on a dry slice of bread?