Podcast
Questions and Answers
What is the value of $r$ if $r^3 = 27$?
What is the value of $r$ if $r^3 = 27$?
- $3$ (correct)
- $\sqrt[3]{27}$
- $9$
- $-3$
What is the value of $a^{rac{2}{3}}$ if $a = 8$?
What is the value of $a^{rac{2}{3}}$ if $a = 8$?
- $\sqrt{8^2}$
- $4$
- $\sqrt[3]{8^2}$ (correct)
- $2$
What is the value of $\sqrt[4]{81}$?
What is the value of $\sqrt[4]{81}$?
- $3$ (correct)
- $-3$
- $9$
- $\sqrt{81}$
What is the value of $(\sqrt{16})^2$?
What is the value of $(\sqrt{16})^2$?
What is the value of $\sqrt{12} imes \sqrt{3}$?
What is the value of $\sqrt{12} imes \sqrt{3}$?
What is the value of $rac{\sqrt{50}}{\sqrt{2}}$?
What is the value of $rac{\sqrt{50}}{\sqrt{2}}$?
What is the value of $\sqrt[3]{27} imes \sqrt[3]{8}$?
What is the value of $\sqrt[3]{27} imes \sqrt[3]{8}$?
What is the value of $2^{rac{3}{2}}$?
What is the value of $2^{rac{3}{2}}$?
What is the definition of $r$ in terms of $a$ when $r^n = a$?
What is the definition of $r$ in terms of $a$ when $r^n = a$?
What is the value of $a^{rac{m}{n}}$ when $a > 0$, $m, n \in \mathbb{Z}$, and $n
eq 0$?
What is the value of $a^{rac{m}{n}}$ when $a > 0$, $m, n \in \mathbb{Z}$, and $n eq 0$?
What is the definition of a surd?
What is the definition of a surd?
What is the result of multiplying $\sqrt[n]{a}$ and $\sqrt[n]{b}$?
What is the result of multiplying $\sqrt[n]{a}$ and $\sqrt[n]{b}$?
What is the purpose of rationalizing the denominator?
What is the purpose of rationalizing the denominator?
What is the result of raising $\sqrt[n]{a}$ to the power of $m$?
What is the result of raising $\sqrt[n]{a}$ to the power of $m$?
What is the value of $a^{-rac{1}{n}}$?
What is the value of $a^{-rac{1}{n}}$?
What is the result of dividing $\sqrt[n]{a}$ by $\sqrt[n]{b}$?
What is the result of dividing $\sqrt[n]{a}$ by $\sqrt[n]{b}$?
If $a > 0$ and $m, n \in \mathbb{Z}$, then what is the value of $a^{rac{m}{n}}$ in terms of radicals?
If $a > 0$ and $m, n \in \mathbb{Z}$, then what is the value of $a^{rac{m}{n}}$ in terms of radicals?
What is the value of $\sqrt[3]{a^2} imes \sqrt[3]{a^4}$?
What is the value of $\sqrt[3]{a^2} imes \sqrt[3]{a^4}$?
What is the value of $rac{\sqrt{a}}{\sqrt{b}}$?
What is the value of $rac{\sqrt{a}}{\sqrt{b}}$?
What is the value of $\sqrt{a} imes \sqrt[3]{a^2}$?
What is the value of $\sqrt{a} imes \sqrt[3]{a^2}$?
What is the purpose of rationalizing the denominator of a fraction?
What is the purpose of rationalizing the denominator of a fraction?
What is the value of $\left(\sqrt{a}
ight)^3$?
What is the value of $\left(\sqrt{a} ight)^3$?
What is the value of $\sqrt[4]{a^3}$?
What is the value of $\sqrt[4]{a^3}$?
What is the value of $\sqrt{a} imes \sqrt{b}$?
What is the value of $\sqrt{a} imes \sqrt{b}$?
What is the value of $a^{rac{3}{2}}$ when $a = 16$?
What is the value of $a^{rac{3}{2}}$ when $a = 16$?
What is the value of $\sqrt[4]{x^2}$ when $x = 9$?
What is the value of $\sqrt[4]{x^2}$ when $x = 9$?
What is the value of $rac{\sqrt{50}}{\sqrt{10}}$?
What is the value of $rac{\sqrt{50}}{\sqrt{10}}$?
What is the value of $a^{rac{2}{3}}$ when $a = 27$?
What is the value of $a^{rac{2}{3}}$ when $a = 27$?
What is the value of $\sqrt[3]{x^2}$ when $x = 8$?
What is the value of $\sqrt[3]{x^2}$ when $x = 8$?
What is the value of $rac{\sqrt[3]{a^2}}{\sqrt[3]{a}}$ when $a = 27$?
What is the value of $rac{\sqrt[3]{a^2}}{\sqrt[3]{a}}$ when $a = 27$?
What is the value of $a^{rac{3}{4}}$ when $a = 16$?
What is the value of $a^{rac{3}{4}}$ when $a = 16$?
What is the value of $\sqrt{x^2}$ when $x = 4$?
What is the value of $\sqrt{x^2}$ when $x = 4$?
What is the value of $a^{\frac{2}{3}}$ when $a = 27$?
What is the value of $a^{\frac{2}{3}}$ when $a = 27$?
What is the purpose of rationalizing the denominator of a fraction?
What is the purpose of rationalizing the denominator of a fraction?
What is the value of $\sqrt[3]{a^2} \times \sqrt[3]{a^4}$ when $a > 0$?
What is the value of $\sqrt[3]{a^2} \times \sqrt[3]{a^4}$ when $a > 0$?
What is the value of $\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$ when $a, b > 0$ and $n \in \mathbb{Z}$?
What is the value of $\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$ when $a, b > 0$ and $n \in \mathbb{Z}$?
What is the definition of a surd?
What is the definition of a surd?
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