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1961 AMC 12 Question 13

AMC12 · 1961 AMC 12

Question 13

The symbol $|a|$ means $a$ if $a$ is a positive number or zero, and $-a$ if $a$ is a negative number. For all real values of $t$ the expression $\sqrt{t^4+t^2}$ is equal to:
  1. $t^3$
  2. $t^2+t$
  3. $|t^2+t|$
  4. $t\sqrt{t^2+1}$
  5. $|t|\sqrt{1+t^2}$