Solve 3×(√25)+7): Order of Operations with Square Roots

Because of PEMDAS rules! Parentheses come before multiplication. You must solve $(\sqrt{25} + 7)$ completely first, then multiply by 3.

Think: what number times itself equals 25? Since $5 \times 5 = 25$, we know $\sqrt{25} = 5$. Perfect squares like 25 have whole number square roots!

Use the PEMDAS acronym: Please Excuse My Dear Aunt Sally. Work from left to right, doing Parentheses first, then Exponents (including square roots), then Multiplication and Division, finally Addition and Subtraction.

Yes, but try to recognize perfect squares first! Numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 have nice whole number square roots that you should memorize.

Substitute back step by step: $\sqrt{25} = 5$, so $5 + 7 = 12$, and $3 \times 12 = 36$. If each step works out, your answer is correct!