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Evaluate.
sqrt100-10(sqrt25-5)

Evaluate. $\newline$ $\sqrt{100}-10(\sqrt{25}-5)$

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Factor sums and differences of cubes

Full solution

Q. Evaluate.

\newline

\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 $10$ .

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