91Ó°ÊÓ

Complete sentence with the best choice from the column on the right. In any ____ triangle, the square of the length of the hypotenuse is the sum of the squares of the lengths of the legs. a) Hypotenuse b) Isosceles c) Legs d) Right e) Square roots f) \(30^{\circ}-60^{\circ}-90^{\circ}\)

Classify each of the following statements as either true or false. Every imaginary number is a complex number, but not every complex number is imaginary.

Fill in the blanks by selecting from the following words (which may be used more than once): radicand(s), indices, conjugate(s), base(s) denominator(s), numerator(s). To find a product by adding exponents, the _____ must be the same.

Add or subtract. Simplify by combining like radical terms, if possible. Assume that all variables and radicands represent positive real numbers. $$14 \sqrt[5]{2}-6 \sqrt[5]{2}$$

Simplify by taking the roots of the numerator and the denominator. Assume that all variables represent positive numbers. $$ \sqrt{\frac{100}{81}} $$

Simplify by taking the roots of the numerator and the denominator. Assume that all variables represent positive numbers. $$ \sqrt{\frac{121}{x^{2}}} $$

Solve. $$\sqrt{y+4}+6=7$$

For each number, find all of its square roots. $$ 900 $$

For each number, find all of its square roots. $$ 225 $$

Give an exact answer and, where appropriate, an approximation to three decimal places. One leg of a right triangle is \(1 \mathrm{m}\) and the hypotenuse measures \(\sqrt{2} \mathrm{m} .\) Find the length of the other leg.