Class 10 Maths Holiday Homework

Find the HCF of 60 and 72 using the Euclid’s Division Lemma.

Show that √2 is an irrational number.

Find the LCM of 12 and 18.

Write the prime factorization of 840.

Is 0.101100110001... rational or irrational? Justify.

Can two irrational numbers be multiplied to get a rational number? Give example.

Prove that √3 is irrational.

Find HCF and LCM of 306 and 657 using prime factorization.

Use Euclid’s division lemma to find the HCF of 96 and 128.

Is 2 + √3 a rational number? Explain.