Simplify:

The requried square root of 102, approximated to the nearest tenth, is approximately 10.1.

To approximate the square root of 102 to the nearest tenth, you can use a calculator or perform the calculation manually. Here's the manual method:

Start by guessing the square root. The square root of 100 is 10, so it's a good starting point.

Divide 102 by the guessed value (10) to get a new approximation.

102 / 10 = 10.2

Take the average of the guessed value and the new approximation.

(10 + 10.2) / 2 = 10.1

Repeat steps 2 and 3 using the new approximation to get a more accurate result:

102 / 10.1 ≈ 10.099

(10.1 + 10.099) / 2 ≈ 10.0995

So, the squareroot of 102, approximated to the nearest tenth, is approximately 10.1.

Learn more about square roots here:

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Answer:

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Step-by-step explanation:

Step-by-step explanation:

multiply second equation by -2

-2 × (x+y) = 3➡ -2x - 2y = -6 now add up both equations

3x + 2y - 2x-2y = 5-6 ➡x = -1 (-2y eliminated +2y)

now use the value we found for x in the second equation to find the value of y

x + y = 3 we found x as -1

-1 +y = 3 ➡y = 4

Answer:

The answer is 14000