Problem 19
Express in terms of \(i\) $$ -\sqrt{-300} $$
Problem 20
Express in terms of \(i\) $$ -\sqrt{-75} $$
Problem 21
A slow-pitch softball diamond is actually a square \(65 \mathrm{ft}\) on a side. How far is it from home plate to second base?
Problem 26
Simplify. $$ \sqrt{0.36} $$
Problem 27
Simplify. $$ \sqrt{0.0081} $$
Problem 27
How long is a guy wire if it reaches from the top of a 15 -ft pole to a point on the ground \(10 \mathrm{ft}\) from the pole?
Problem 27
Assume for all exercises that even roots are of non- negative quantities and that all denominators are nonzero. Write an equivalent expression using radical notation and, if possible, simplify. $$ (81 x)^{3 / 4} $$
Problem 28
Simplify. $$ \sqrt{0.0016} $$
Problem 29
Perform the indicated operation and simplify. Write each answer in the form \(a+b i\) $$ (9+8 i)-(5+3 i) $$
Problem 32
Identify the radicand and the index for each expression. $$ \frac{a}{b} \sqrt[6]{a^{2}+1} $$