Problem 2
Choose from the following list the word that best completes each statement. Not every word will be used. add \(\qquad\) radical equivalent \(\qquad\) rational multiply \(\qquad\) subtract When dividing one exponential expression by another with the same base, we _________ exponents.
Problem 4
Choose from the following list the word that best completes each statement. Not every word will be used. even isolate odd powers radical raise rational square roots A check is essential when we raise both sides of an equation to a(n) \(\longrightarrow\) power.
Problem 4
Classify each of the following statements as either true or false. Every real number is a complex number, but not every complex number is real.
Problem 5
Two or three words appear right-side of the blank. Choose the correct word to complete the statement. If \(a\) is a whole number that is not a perfect square, then \(\sqrt{a}\) is a(n) _____(irrational/rational) number.
Problem 5
Classify each of the following statements as either true or false. We add complex numbers by combining real parts and combining imaginary parts.
Problem 5
Classify each of the following as either an arithmetic sequence, a geometric sequence, an arithmetic series, a geometric series, or none of these. \(3,6,12,24, \dots\)
Problem 7
Multiply. $$\sqrt{3} \sqrt{10}$$
Problem 12
Solve. $$ \sqrt{2 x}-1=2 $$
Problem 15
Add or subtract. Simplify by combining like radical terms, if possible. Assume that all variables and radicands represent positive real numbers. $$ 9 \sqrt[3]{7}-\sqrt{3}+4 \sqrt[3]{7}+2 \sqrt{3} $$
Problem 15
Rational Exponents Write an equivalent expression using radical notation and, if possible, simplify. $$36^{1 / 2}$$