Maths Surds, Logs, Rational Indices game

Logarithms Base 10

100

The equivalent value of this

log 100

2

200

The equivalent value of 

log 1

0

300

The equivalent value of

log 316.227766

2.5

400

Solve for x using the GDC

10^x=199526.2315

5.3

500

Solve for x using the GDC

3*10^x=137126.4569

4.66

+/- Surds

100

2√5+3√5-2√5=

Simplify if possible

3√5

200

23√2- 10√8=

Simplify if possible

3√2

300

-6√9+3√3-8√12=

Simplify if possible

-13√3-18

400

52√20-10√25+7√5=

Simplify if possible

111√5-50

500

22√45-29√5+3√9-8√8=

Simplify if possible

37√5-16√2+9

x/÷ Surds

100

2√3 x 3√6=

Simplify if possible

18√2

200

√8 ÷ √6

Simplify if possible

2√3 /3 

300

3√4x6√9 / 9√2x3√4

Simplify if possible

√2

400

 200√81 x 2√2

Simplify if possible

3600√2

500

5√6x√9 / 8√2x20√8

Simplify if possible

3√6 / 128

Index Laws

100

4a⁰=

evaluate

4

200

4m⁶n⁷ x mn x 5mn²=

simplify

20m⁸n¹⁰

300

-8x²y³ / 16x²y=

simplify 

-y² / 2

400

(4p²q³ / 3r)⁴=

simplify

256p⁸q¹² / 81r⁴

500

(2m³)² / 3(mn⁴)⁰ x (6n⁵)² / (-2n)³m⁴=

simplify

-6m²n⁷ 

Rational Indices

100

Solve x 

5^x=25

x=2

200

express in index form

³√35

35^1/3

300

express in index form

2⁴√g³h⁵

2g^3/4h^5/4

400

express in surd form

3^4/7

⁷√81

500

Evaluate the following

16^1/4

2