Simplify the expression completely. 2sqrt36-5sqrt(-25)-4root(3)(125) Answer:

Simplify 2sqrt(36): First, we will simplify each term in the expression separately, starting with 2sqrt(36). The square root of 36 is 6, so 2 times the square root of 36 is 2 * 6. Calculation: 2 * 6 = 12Simplify -5sqrt(-25): Next, we simplify the term -5sqrt(-25). The square root of -25 is not a real number because you cannot take the square root of a negative number in the real number system. However, if we consider complex numbers, the square root of -25 is 5i, where i is the imaginary unit. So, -5 times the square root of -25 is -5 * 5i. Calculation: -5 * 5i = -25iSimplify -4root(3)(125): Finally, we simplify the term -4root(3)(125). The cube root of 125 is 5, so -4 times the cube root of 125 is -4 * 5. Calculation: -4 * 5 = -20Combine simplified terms: Now we combine all the simplified terms to get the final simplified expression. Combining the terms: 12 - 25i - 20 Calculation: 12 - 20 = -8, so the expression simplifies to -8 - 25i.

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Algebra 2

Simplify variable expressions using properties

Full solution

Q. Simplify the expression completely.

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2 \sqrt{36}-5 \sqrt{-25}-4 \sqrt[3]{125}

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Answer:

Simplify $2\sqrt{36}$ : First, we will simplify each term in the expression separately, starting with $2\sqrt{36}$ . The square root of $36$ is $6$ , so $2$ times the square root of $36$ is $2 \times 6$ . Calculation: $2 \times 6 = 12$
Simplify $-5\sqrt{-25}$ : Next, we simplify the term $-5\sqrt{-25}$ . The square root of $-25$ is not a real number because you cannot take the square root of a negative number in the real number system. However, if we consider complex numbers, the square root of $-25$ is $5i$ , where $i$ is the imaginary unit. So, $-5$ times the square root of $-25$ is $-5 \times 5i$ . Calculation: $-5 \times 5i = -25i$
Simplify $-4\sqrt[3]{125}$ : Finally, we simplify the term $-4\sqrt[3]{125}$ . The cube root of $125$ is $5$ , so $-4$ times the cube root of $125$ is $-4 \times 5$ . Calculation: $-4 \times 5 = -20$
Combine simplified terms: Now we combine all the simplified terms to get the final simplified expression. $\newline$ Combining the terms: $12 - 25i - 20$ $\newline$ Calculation: $12 - 20 = -8$ , so the expression simplifies to $-8 - 25i$ .