Question

Use the table shown to approximate the square root of 1800 to the nearest hundredth.

Explain your reasoning.

Answer 1

we know that
√1800-----> √[2³*3²*5²]----> (√2*√2*√2)*(√3*√3)*(√5*√5)

using the table
√2=1.41421
√3=1.73205
√5=2.23606
then
(√2*√2*√2)*(√3*√3)*(√5*√5)=(√2)³*(√3)²*(√5)²
=(1.41421)³*(1.73205)²*(2.23606)²
=2.83*3*5
=42.45

the answer is
42.45