13 Calc 21st Feb 2025 - Electric Avenue Day :)

Surd or Not Surd??

100

√8

YES A SURD, 2.82842712474619

200

√81

NO, the answer is 9

300

√72

YES A SURD, 8.48528137423857

400

√1/64

NO, 1/8

500

√3/14

YES A SURD, 0.4629

Like Surds or Simplify

100

4√5 + 3√5 - √7

7√5 - √7

200

SIMPLIFY: (3√2)²

18

300

4√6 + √6 - √5+ 2√5

5√6 + √5

400

(4/√2)²

8

500

x²=6

x² = 6

x= -+√6

Multiply These

100

y/3 = 4/y 

y²=12, so y= +/-√12 = +/-2√3

200

3√3 × 5√3

=15 x 3 =45

300

(√8 +√3) (√8 - √3)

5

400

6√3 (√3 - 7√2)

18 - 42√6

500

(√2 + 3)²

11+6√2

Rationalise

100

1 ÷ √2

√2 ÷ 2

200

3√2 × 5√2

30

300

2√5 ÷ 4√3

√15 ÷ 6

400

(4 + √2) ÷ √3

(4√3 + √6) ÷ 3

500

6 ÷ √5 

6√5 / 5

Super Hard Questions(Double Points!)

100

2√3 ÷ √13

2√39 ÷ 13

200

(√2+√3)²

5+2√6

300

(2-√5)(2+√5)

-1

400

√7(√2 - 1)

√14 - √7

500

22 ÷ √11

2 √11