Section 1
Radicals
Simplify.$$81--\sqrt{ }$$
Simplify.$$100--\sqrt{ }$$
Simplify.$$64--\sqrt{ }$$
Simplify.$$121--\sqrt{ }$$
Simplify.$$0 \sqrt{ }$$
Simplify.$$1 \sqrt{ }$$
Simplify.$$0.25--\sqrt{ }$$
Simplify.$$0.01--\sqrt{ }$$
Simplify.$$1.21--\sqrt{ }$$
Simplify.$$2.25---\sqrt{ }$$
Simplify.$$14--\sqrt{ }$$
Simplify.$$136-\sqrt{ }$$
Simplify.$$2516--\sqrt{ }$$
Simplify.$$925--\sqrt{ }$$
Simplify.$$-25-\sqrt{ }$$
Simplify.$$-9---\sqrt{ }$$
Simplify.$$-36--\sqrt{ }$$
Simplify.$$-81-\sqrt{ }$$
Simplify.$$-100---\sqrt{ }$$
Simplify.$$-1 \sqrt{ }$$
Simplify.$$27--\sqrt{3}$$
Simplify.$$64--\sqrt{3}$$
Simplify.$$8 \sqrt{3}$$
Simplify.$$18--\sqrt{3}$$
Simplify.$$164--\sqrt{3}$$
Simplify.$$827--\sqrt{3}$$
Simplify.$$64125--\sqrt{3}$$
Simplify.$$0.001---\sqrt{3}$$
Simplify.$$1,000---\sqrt{3}$$
Simplify.$$-1---\sqrt{3}$$
Simplify.$$-8---\sqrt{3}$$
Simplify.-27-1-\sqrt{3}
Simplify.$$-64--\sqrt{3}$$
Simplify.$$-18--\sqrt{3}$$
Simplify.$$-2764---\sqrt{3}$$
Simplify.$$-827---\sqrt{3}$$
Simplify.$$-1125---\sqrt{3}$$
Simplify.$$81--\sqrt{4}$$
Simplify.$$625--\sqrt{1}$$
Simplify.$$16--\sqrt{4}$$
Simplify.$$10,000---\sqrt{4}$$
Simplify.$$32--\sqrt{5}$$
Simplify.$$1 \sqrt{5}$$
Simplify.$$243--\sqrt{5}$$
Simplify.$$100,000--\sqrt{5}$$
Simplify.$$-16-\sqrt{4}$$
Simplify.$$-1 \sqrt{6}$$
Simplify.$$-32--\sqrt{5}$$
Simplify.$$-1--\sqrt{5}$$
Simplify.$$-1---\sqrt{ }$$
Simplify.$$-16--\sqrt{4}$$
Simplify.$$-5-27--\sqrt{3}$$
Simplify.$$-2-8--\sqrt{3}$$
Simplify.$$5-1,000----\sqrt{3}$$
Simplify.$$3-243---\sqrt{5}$$
Simplify.$$10-16--\sqrt{4}$$
Simplify.$$2-64---\sqrt{6}$$
Simplify.$$325--\sqrt{ }$$
Simplify.$$64 \sqrt{ }$$
Simplify.$$227-\sqrt{3}$$
Simplify.$$8243---\sqrt{5}$$
Simplify.$$-78 \sqrt{3}$$
Simplify.$$-4625--\sqrt{4}$$
Simplify.$$6100,000----\sqrt{5}$$
Simplify.$$5128--\sqrt{7}$$
Simplify.$$32--\sqrt{1}$$
Simplify.$$250--\sqrt{ }$$
Simplify.$$80--\sqrt{ }$$
Simplify.$$150---\sqrt{ }$$
Simplify.$$160--\sqrt{ }$$
Simplify.$$60--\sqrt{ }$$
Simplify.$$175---\sqrt{ }$$
Simplify.$$216--\sqrt{ }$$
Simplify.$$5112---\sqrt{ }$$
Simplify.$$5112--\sqrt{ }$$
Simplify.$$5049--\sqrt{ }$$
Simplify.$$-2120--\sqrt{ }$$
Simplify.$$-3162--\sqrt{ }$$
Simplify.$$89--\sqrt{ }$$
Simplify.$$45121---\sqrt{ }$$
Simplify.$$9681--\sqrt{ }$$
Simplify.54--\sqrt{3}
Simplify.$$24--\sqrt{3}$$
Simplify.$$48--\sqrt{3}$$
Simplify.$$81--\sqrt{3}$$
Simplify.$$40--\sqrt{3}$$
Simplify.$$120--\sqrt{3}$$
Simplify.$$162--\sqrt{3}$$
Simplify.$$500--\sqrt{3}$$
Simplify.$$54125---\sqrt{3}$$
Simplify.$$40343---\sqrt{3}$$
Simplify.$$5-48---\sqrt{3}$$
Simplify.$$2-108---\sqrt{3}$$
Simplify.$$896--\sqrt{4}$$
Simplify.$$7162--\sqrt{4}$$
Simplify.160--\sqrt{5}
Simplify.$$486--\sqrt{5}$$
Simplify.$$224243---\sqrt{5}$$
Simplify.532--\sqrt{5}
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$8 \sqrt{ }$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$200--\sqrt{ }$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$45--\sqrt{ }$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$72--\sqrt{ }$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$34--\sqrt{1}$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$59-\sqrt{ }$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$3225-\sqrt{1}$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.4849--\sqrt{ }
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$80--\sqrt{3}$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$320--\sqrt{3}$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$48--\sqrt{3}$$
Simplify. Give the exact answer and the approximate answer rounded to the nearest hundredth.$$270--\sqrt{3}$$
Rewrite the following as a radical expression with coefficient $1 .$$$215-\sqrt{ }$$
Rewrite the following as a radical expression with coefficient $1 .$$$37 \sqrt{ }$$
Rewrite the following as a radical expression with coefficient $1 .$$$510--\sqrt{ }$$
Rewrite the following as a radical expression with coefficient $1 .$$$103 \sqrt{ }$$
Rewrite the following as a radical expression with coefficient $1 .$$$27 \sqrt{3}$$
Rewrite the following as a radical expression with coefficient $1 .$$$36 \sqrt{3}$$
Rewrite the following as a radical expression with coefficient $1 .$$$25 \sqrt{4}$$
Rewrite the following as a radical expression with coefficient $1 .$$$32 \sqrt{4}$$
The formula for the area $A$ of a square is $A=s 2$. If the area is 18 square units, then what is the length of each side?
Calculate the length of a side of a square with an area of 60 square centimeters.
The formula for the volume $V$ of a cube is $V=s 3$. If the volume of a cube is 112 cubic units, then what is the length of each side?
Calculate the length of a side of a cube with a volume of 54 cubic centimeters.
Explain why there are two square roots for any nonzero real number.
Explain why there is only one cube root for any real number.
What is the square root of 1 , and what is the cube root of 1 ? Explain why.
Explain why $-1--\sqrt{ }$ is not a real number and why $-1---\sqrt{3}$ is a real number.