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whether 2under root 45/ 2 underoot 5 + 3 underroot 20 / 2 underoot 5 on simplification gives a rational or an irrational number

Asked by rusuishika | 16 Jan, 2021, 11:04: PM

Expert Answer

begin mathsize 16px style fraction numerator 2 square root of 45 over denominator 2 square root of 5 end fraction plus fraction numerator 3 square root of 20 over denominator 2 square root of 5 end fraction equals fraction numerator 2 square root of 9 cross times 5 end root over denominator 2 square root of 5 end fraction plus fraction numerator 3 square root of 4 cross times 5 end root over denominator 2 square root of 5 end fraction equals fraction numerator 2 cross times 3 square root of 5 over denominator 2 square root of 5 end fraction plus fraction numerator 3 cross times 2 square root of 5 over denominator 2 square root of 5 end fraction equals fraction numerator 6 square root of 5 plus 6 square root of 5 over denominator 2 square root of 5 end fraction equals fraction numerator 12 square root of 5 over denominator 2 square root of 5 end fraction equals 6 So comma space fraction numerator 2 square root of 45 over denominator 2 square root of 5 end fraction plus fraction numerator 3 square root of 20 over denominator 2 square root of 5 end fraction space on space simplification space gives space straight a space rational space number. end style

Answered by Yasmeen Khan | 18 Jan, 2021, 01:48: PM

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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

(b)

fraction numerator 1 over denominator square root of 2 end fraction

(c)

square root of 3 plus square root of 5

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.

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

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CBSE 10 - Maths

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

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

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CBSE 10 - Maths

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

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CBSE 10 - Maths

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

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CBSE 10 - Maths

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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 :

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

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