Question

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...

Answer 1

42.42

Explanation:
`√(1800)`

= \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!

Answer 2

42.43


You can use a website to calculate the square root