UpStudy Free Solution:

To find the square root of 200 and round it to the nearest ten, follow these steps:

1. Calculate the square root of 200:

\[\sqrt { 200} \approx 14.14\]

2. Round 14.14 to the nearest ten:

- The nearest ten to 14.14 is 10.

So, \(\sqrt { 200} \) rounded to the nearest ten is 10.

Supplemental Knowledge

Finding the square root of a number and rounding it to the nearest ten involves understanding both square roots and rounding rules. Here’s a deeper look into these concepts:

1. Square Roots:

- The square root of a number \(x\) is a value \(y\) such that \(y^ 2 = x\). For example, the square root of 200 is approximately 14.14 because \(14.14^ 2 \approx 200\).

2. Rounding Numbers:

- Rounding involves adjusting a number to a specified degree of precision. When rounding to the nearest ten, you look at the units digit:

- If the units digit is less than 5, round down.

- If the units digit is 5 or greater, round up.

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