PLZ HELP ASAP!!

Use the table shown to approximate square root 1800 to the nearest hundredth. Explain your reasoning.
Square Root Decimal 1.41421... 1.73205... 2.23606... 2.64575... 3.31662... 3.60555... 4.12310... 4.35889...

Respuesta :

42.43


You can use a website to calculate the square root

Answer:

42.42

Step-by-step explanation:[tex]\sqrt{1800}[/tex]

= \sqrt{2^3 * 3^2 * 5^2}

= sqrt(2^3) * sqrt(3^2) * sqrt(5^2)

= sqrt(2^3) * 3 * 5

= sqrt(2^3) * 15

= 15 * sqrt(2^3)

= 15 * sqrt(2^2) * sqrt(2)

= 15 * 2 * sqrt(2)

= 30 * sqrt(2)

= 30 * 1.414

= 42.42

Hope this helps!