IM Alg2.3.6 Practice: Squares and Square Roots

[size=150]Select [b]all [/b]solutions to the equation [math]x^2=7[/math].[/size]
Find the solution(s) to each equation, if there are any.
[math]x^2=9[/math]
[math]\sqrt{x}=3[/math]
[math]\sqrt{x}=\text{-}3[/math]
[size=150]If [math]c[/math] is a positive number, how many solutions does [math]x^2=c[/math]have? Explain.[br][/size]
[size=150]If [math]c[/math] is a positive number, how many solutions does [math]\sqrt{x}=c[/math] have? Explain.[br][/size]
[size=150]Suppose that a friend missed class and never learned what [math]37^{\frac{1}{3}}[/math] means.[/size][br][br]Use exponent rules your friend would already know to calculate [math](37^{\frac{1}{3}})^3[/math].
Explain why this means that [math]37^{\frac{1}{3}}[/math] is the cube root of 37.[br]
Evaluate [math]8^{\frac{5}{3}}[/math].
Write each expression without using exponents.
[math]5^{\frac{2}{3}}[/math]
[math]4^{\text{-}\frac{3}{2}}[/math]
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