Real Numbers (10)

Fundamental Theorem of Arithmetic, LCM and HCF, Irrational Numbers

Khushi wants to organize her birthday party

Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought 36 apples

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The number $ 5 - 3\sqrt{5} + \sqrt{5} $ is

The number $ 5 - 3\sqrt{5} + \sqrt{5} $ is

  1. an integer
  2. a rational
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(HCF × LCM) for the numbers 70 and 40 is

(HCF × LCM) for the numbers 70 and 40 is

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Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of the two given numbers

Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of the two given numbers.

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Given that $\sqrt{2}$ is irrational, prove that $(5 + 3\sqrt{2})$ is an irrational number

Given that $\sqrt{2}$ is irrational, prove that $(5 + 3\sqrt{2})$ is an irrational number.

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What is the HCF of smallest prime number and the smallest composite number

What is the HCF of smallest prime number and the smallest composite number?

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Using Euclid’s Algorithm, find the HCF of 2048 and 960

Using Euclid’s Algorithm, find the HCF of 2048 and 960.

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Prove that 2 + 5 $\sqrt{3}$ is an irrational number

Prove that 2 + 5 $\sqrt{3}$ is an irrational number, given that 3 is an irrational number.

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Write the smallest number which is divisible by both 306 and 657

Write the smallest number which is divisible by both 306 and 657

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If HCF (336, 54) = 6, find LCM (336, 54)

If HCF (336, 54) = 6, find LCM (336, 54)

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