Problem 1
Fill in the blanks. \(2^{3}=8,\) so the cube root of 8 is __________.
Problem 2
Fill in the blanks. \(4^{3}=64,\) so the cube root of 64 is __________ .
Problem 5
Fill in the blanks. \(3^{4}=81,\) so the fourth root of 81 is __________ .
Problem 6
Fill in the blanks. \(2^{4}=16,\) so the fourth root of 16 is __________ .
Problem 8
Simplify each fraction. Assume no division by 0. $$\frac{35 a^{3} b^{2} c}{63 a^{2} b^{3} c^{2}}$$
Problem 14
Fill in the blanks. The distance formula states that \(d=\) ___________ .
Problem 15
Fill in the blanks. The principal square root of a positive number is _______.
Problem 21
Simplify each radical. $$\sqrt{98}$$
Problem 26
Simplify. $$\sqrt{72}+\sqrt{200}$$
Problem 30
Multiply. In square roots, all variables represent positive values. SEE EXAMPLE 2 . (OBJECTIVE 1) $$\sqrt[3]{5}(\sqrt[3]{25}+3)$$