Math

QuestionCalculate and round the result of 4.0198.7393.779\frac{4.019-8.739}{\sqrt{3.779}} to two decimal places.

Studdy Solution

STEP 1

Assumptions1. The operation follows the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to subtract8.739 from4.019.
Difference=4.0198.739Difference =4.019 -8.739

STEP 3

Calculate the difference.
Difference=.0198.739=.72Difference =.019 -8.739 = -.72

STEP 4

Next, we need to find the square root of3.779.
Squareroot=3.779Square\, root = \sqrt{3.779}

STEP 5

Calculate the square root.
Squareroot=3.779=1.944Square\, root = \sqrt{3.779} =1.944

STEP 6

Now, we can divide the difference by the square root.
Result=DifferenceSquarerootResult = \frac{Difference}{Square\, root}

STEP 7

Plug in the values for the difference and the square root to calculate the result.
Result=4.721.944Result = \frac{-4.72}{1.944}

STEP 8

Calculate the result.
Result=4.721.944=2.43Result = \frac{-4.72}{1.944} = -2.43The estimated result of the computation is -2.43. Round your answer to two decimal places, if needed.

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