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prove 1/root 2 is irrational no

Asked by jayasingh29march79 | 28 Jan, 2020, 07:05: AM

Expert Answer

begin mathsize 16px style Let space us space assume space that space fraction numerator 1 over denominator square root of 2 end fraction space is space straight a space rational space number. rightwards double arrow fraction numerator 1 over denominator square root of 2 end fraction equals space straight a over straight b space rightwards double arrow space straight b over straight a space equals square root of 2 space straight b over straight a space is space straight a space rational space number space rightwards double arrow square root of 2 space is space straight a space rational space number. which space is space straight a space contradiction comma space means space our space assumption space was space wrong. rightwards double arrow fraction numerator 1 over denominator square root of 2 end fraction space is space an space irrational space number. end style

Answered by Yasmeen Khan | 28 Jan, 2020, 11:14: AM

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CBSE 10 - Maths

Show that 2√3 - 5 is irrational.

Asked by susrisangita792 | 24 Apr, 2023, 09:59: PM

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CBSE 10 - Maths

Prove that the following numbers are irrational: (a)

2 square root of 3 minus 4

fraction numerator 1 over denominator square root of 2 end fraction

square root of 3 plus square root of 5

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Asked by susrisangita792 | 24 Apr, 2023, 03:00: PM

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CBSE 10 - Maths

Answer the following in one word, one sentence or as per the exact requirement : (a) Let p and q be two distinct prime numbers. Write HCF (p , q). (b) Fill in the blank space in the statement given below : (i) If p be a prime, then √p is _______number. (ii) If p/q is a rational number then p and q are _____ . (c) √27 is an irrational number. Justify the statement.

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Asked by susrisangita792 | 23 Apr, 2023, 09:05: AM

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Prove that 6 + √3 is irrational.

Asked by susrisangita792 | 06 Apr, 2023, 08:35: PM

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CBSE 10 - Maths

The following real numbers have decimal expansions as given below. In each case decide whether they are rational or not. If they are rational and of the form p/q write prime factors of q so that p and q are co-primes. (a) 43.123 (b) 0.120120012000........ (c) 43.123123123123........

Asked by susrisangita792 | 02 Apr, 2023, 11:51: AM

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CBSE 10 - Maths

plz solve this question urgently :

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Asked by savitamahajan202 | 30 Jan, 2023, 02:36: PM

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CBSE 10 - Maths

plz solve urgently dear experts tick marked :

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Asked by savitamahajan202 | 30 Jan, 2023, 01:57: PM

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CBSE 10 - Maths

plz solve urgently dear experts Tick marked problem :

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Asked by savitamahajan202 | 24 Jan, 2023, 12:12: PM

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CBSE 10 - Maths

plz solve urgently dear experts Q13 tick marked :

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Asked by savitamahajan202 | 24 Jan, 2023, 11:50: AM

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CBSE 10 - Maths

plz answer the TICK marked question urgently dear experts :

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Asked by savitamahajan202 | 24 Jan, 2023, 11:42: AM

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