Question

State with reasons√20×√45 is a surd or not?

Answer 1

Solution:

√20 × √45

= √20×45

= √(2×2×5)×(5×3×3)

= √(2×2)×(5×5)×(3×3)

= 2×5×3

= 30 [ Rational number ]

Therefore,

√20 × √45 is a rational number.

••••

Answer 2

Solution:

√20 × √45

= √20×45

= √(2×2×5)×(5×3×3)

= √(2×2)×(5×5)×(3×3)

= 2×5×3

= 30 [ Rational number ]