Q. Simplify the expression completely.51+3−1000+238Answer:
Identify and Simplify: Identify and simplify each term in the expression.The expression given is 51+3−1000+238.First, we simplify the square root of 1, which is 1, because the square root of any number squared is the number itself.
Simplify Cube Root of −1000: Simplify the cube root of −1000. The cube root of −1000 is −10, because (−10)3=−1000.
Simplify Cube Root of 8: Simplify the cube root of 8 multiplied by 2. The cube root of 8 is 2, because 23=8. Multiplying this by 2 gives us 2×2=4.
Combine Simplified Terms: Combine all the simplified terms.Now we combine the simplified terms from the previous steps:5×1+(−10)+4
Perform Addition and Subtraction: Perform the addition and subtraction.5×1 is 5, so we have:5+(−10)+4This simplifies to:5−10+4Which further simplifies to:−5+4Which equals:−1
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