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

Estimate to nearest perfect square

sqrt(7900

90

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

Estimate to nearest perfect square

sqrt(83471.01)

300

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

Draw the number systems chart


400

Convert the following into a fraction in simplest form.

2.74bar18

754/275

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

Rational or Irrational?

sqrt(0.4

Irrational: non-repeating, non-terminating

Non-perfect square

500

Simplify

sqrt(24

2sqrt6

500

Convert into an entire radical

2p^2qroot(3)(5pq^2)

root(3)(40p^7q^5)

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