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Evaluate without using tables or calculators: sqrt(0.8064 6.048 / 1.008 0.1344) and -4 of [(-4 + -5 / 15) + -3 - 4 / 6] / (84 / -7 + 3 - (-5)).
Mathematics
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Step-by-step solution
5 stepsHere are the solutions to your problems:
1. Evaluate without using tables or calculators.
Convert the decimals to integers by multiplying the numerator and denominator by appropriate powers of 10.
Simplify the terms by division.
Notice that .
Now, simplify .
Substitute the simplified fraction back into the square root.
Perform the multiplication and take the square root.
The value is .
2. Evaluate;
Evaluate the numerator.
First, evaluate the expression inside the brackets:
Inside the first parenthesis:Now substitute this back into the brackets:
Perform the division:
The expression in brackets is: $\left[-\frac{13}{3} - 3 - \frac{2
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