Q93 of 142 Page 88

Using distributive law, find the squares of
(a) 101 (b) 72

(a) Given: 101

As we know,

(101)² is to find using distributive law:

(101)² = 101 × 101

= 101 (100 + 1)

= 10100 + 101

= 10201

(b) Given: 72

As we know,

(72)² is to find using distributive law:

(72)² = 72 × 72

= 72 (70 + 2)

= 5040 + 144

= 5184

Using prime factorisation, find which of the following are perfect squares.

(a) 484 (b) 11250

Using prime factorisation, find which of the following are perfect cubes.

(a) 128 (b) 343

Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

Write the Pythagorean triplet whose one of the numbers is 4.

Using distributive law, find the squares of(a) 101 (b) 72