Number Systems
Rational/Irrational
Radicals
Converting Radicals
100
Estimate to the nearest whole number
sqrt(68)
8
100
Rational or Irrational?
2.347347347...
Rational: repeating, non-terminating
100
The index of the following is:
root(4)125
4
100
Convert into an entire radical
3/2sqrt8
sqrt18
200
Draw the number systems chart
200
Rational or Irrational?
-sqrt(49)
Rational: non-repeating, terminating
200
The radicand of the following is:
4/3sqrt25
25
200
Convert into an entire radical
-3sqrt7
-sqrt63
300
Write the prime factorization of the LCM of 27 and 63
3^3xx7
300
Convert the following into a fraction in simplest form.
0.bar36
4/11
300
Simplify
2sqrt(20
4sqrt5
300
Simplify
-4root(3)48
-8root(3)6
400
Prove, using prime factorization, that 6400 is a perfect square
2^8xx5^2
All factors have even powers, therefore we can take the square root of the number
400
Rational or Irrational?
sqrt(0.4
Irrational: non-repeating, non-terminating
Non-perfect square
400
Convert the following into an entire radical
2root(3)(13
root(3)104
400
Simplify
sqrt(8y^2)
2ysqrt2
500
Estimate to one significant figure
sqrt(0.03517)
0.2
500
Convert the following into a fraction in simplest form.
2.74bar18
754/275
500
Simplify
sqrt(24
2sqrt6
500
Convert into an entire radical
2p^2qroot(3)(5pq^2)
root(3)(40p^7q^5)