Radicals & Absolute Value - SAT Math
Card 0 of 45
Definition of a square root.
Definition of a square root.
A number that, when multiplied by itself, equals the original number.
A number that, when multiplied by itself, equals the original number.
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Simplify $\sqrt{49}$
Simplify $\sqrt{49}$
7
7
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Simplify $\sqrt{50}$
Simplify $\sqrt{50}$
$5\sqrt{2}$.
$5\sqrt{2}$.
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Simplify $\sqrt{72}$
Simplify $\sqrt{72}$
$6\sqrt{2}$.
$6\sqrt{2}$.
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Simplify $\sqrt[3]{27}$
Simplify $\sqrt[3]{27}$
3
3
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Rewrite $\sqrt[3]{x^5}$ using rational exponents.
Rewrite $\sqrt[3]{x^5}$ using rational exponents.
$x^{5/3}$.
$x^{5/3}$.
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Simplify $\sqrt{a^2}$
Simplify $\sqrt{a^2}$
$|a|$.
$|a|$.
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Simplify $(2\sqrt{3})(3\sqrt{2})$
Simplify $(2\sqrt{3})(3\sqrt{2})$
$6\sqrt{6}$.
$6\sqrt{6}$.
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Rationalize $\frac{3}{\sqrt{5}}$
Rationalize $\frac{3}{\sqrt{5}}$
$\frac{3\sqrt{5}}{5}$.
$\frac{3\sqrt{5}}{5}$.
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Solve $\sqrt{x} = 5$
Solve $\sqrt{x} = 5$
$x = 25$.
$x = 25$.
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Solve $\sqrt{x+3} = 4$
Solve $\sqrt{x+3} = 4$
$x = 13$.
$x = 13$.
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Solve $\sqrt{x + 2} = x$
Solve $\sqrt{x + 2} = x$
$x = 2$ (check eliminates $x = -1$).
$x = 2$ (check eliminates $x = -1$).
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Domain of $f(x) = \sqrt{x - 5}$
Domain of $f(x) = \sqrt{x - 5}$
$x \ge 5$.
$x \ge 5$.
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Explain why $\sqrt{-9}$ is not a real number.
Explain why $\sqrt{-9}$ is not a real number.
No real number squared equals $-9$.
No real number squared equals $-9$.
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Simplify $\sqrt{3x^2}$
Simplify $\sqrt{3x^2}$
$|x|\sqrt{3}$.
$|x|\sqrt{3}$.
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Simplify $\sqrt{x^4}$
Simplify $\sqrt{x^4}$
$x^2$.
$x^2$.
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What is the definition of absolute value?
What is the definition of absolute value?
Distance from 0 on a number line.
Distance from 0 on a number line.
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Simplify $|5|$
Simplify $|5|$
5
5
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Simplify $|-8|$
Simplify $|-8|$
8
8
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Simplify $|3-9|$
Simplify $|3-9|$
6
6
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