5:22 LTE 574 Take Quiz Exit Question 5 1 pts What is the \( \sqrt[3]{1000} \) ? 100 3000 10 30 Question 6 1 pts Solve the equation for \( p \). \[ p^{2}=36 \] \( p=6 \) \( p=9 \) \( p=72 \) \( p=18 \)
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The Deep Dive
Did you know that the cube root of a number, like \( \sqrt[3]{1000} \), asks you what number multiplied by itself three times gives you that number? In this case, since \( 10 \times 10 \times 10 = 1000 \), the answer is 10! So, next time you're cube rooting, remember it's all about that three-fold multiplication! When you solve the equation \( p^{2}=36 \), you need to take the square root of both sides. This means you're looking for two potential values for \( p \): positive and negative! So in this case, \( p = 6 \) or \( p = -6 \), which means \( p \) could be either 6 or -6! It's like finding hidden treasures; you always have to consider all possible options!