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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...

2 Answers

4 votes

Answer:

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!

User Soshika
by
8.2k points
7 votes
42.43


You can use a website to calculate the square root
User FunnyChef
by
8.0k points
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