Question

Show that 1089 is a perfect square. Also find the number whose square is 1089,​

Answer 1

Answer:

yes 1089 is a perfect square

Answer 2

Answer:

Given 1089,

A perfect square can always be expressed as a product of pairs of equal factors.

Now resolve 1089 into prime factors, we get

1089=3×3×11×11=3×11×3×11

=33×33=(33)

2

Hence, 33 is the number whose square is 4225

∴1089 is a perfect square.