The factor tree of a number x is shown below : Find the values of x, y, a and b. Hence, write the product of the prime factors of the number x so obtained.

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Prime Factorisation of Natural Numbers, Irrationality of Square Root of Prime Numbers | PadhAiPro

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TextPrime Factorisation of Natural NumbersIrrationality of Square Root of Prime NumbersCBSE PYQ

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Prove that √5 is an irrational number.

Prove that √3 is an irrational number.

Prove that √2 is an irrational number.

If the number aⁿ, where n is a natural number, always ends with digit a, then the possible value of 'a' is :

Assertion (A) : The prime numbers which divide 36 also divide 6. Reason (R) : Any number which divides p² also divides p.

State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.