Evaluate. sqrt100-10(sqrt25-5)

Simplify Square Root of 100: We will start by simplifying the square root of 100. The square root of 100 is 10, because 10 * 10 = 100.Simplify Square Root of 25: Next, we simplify the square root of 25 inside the parentheses. The square root of 25 is 5, because 5 * 5 = 25.Perform Subtraction: Now we will perform the subtraction inside the parentheses. We have sqrt(25) which is 5, and we subtract 5 from it, which gives us 0. So, 10(sqrt(25) - 5) becomes 10 * 0.Multiply and Simplify: Multiplying 10 by 0 gives us 0. So, 10(sqrt(25) - 5) simplifies to 0.Final Subtraction: Finally, we subtract the result from the previous step from the square root of 100. We have 10 - 0, which equals 10.

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Algebra 2

Factor sums and differences of cubes

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Q. Evaluate.

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\sqrt{100}-10(\sqrt{25}-5)

Simplify Square Root of $100$ : We will start by simplifying the square root of $100$ . The square root of $100$ is $10$ , because $10 \times 10 = 100$ .
Simplify Square Root of $25$ : Next, we simplify the square root of $25$ inside the parentheses. $\newline$ The square root of $25$ is $5$ , because $5 \times 5 = 25$ .
Perform Subtraction: Now we will perform the subtraction inside the parentheses. $\newline$ We have $\sqrt{25}$ which is $5$ , and we subtract $5$ from it, which gives us $0$ . $\newline$ So, $10(\sqrt{25} - 5)$ becomes $10 \times 0$ .
Multiply and Simplify: Multiplying $10$ by $0$ gives us $0$ . So, $10(\sqrt{25} - 5)$ simplifies to $0$ .
Final Subtraction: Finally, we subtract the result from the previous step from the square root of $100$ . We have $10 - 0$ , which equals $10$ .