10 questions๐Ÿ‡ฌ๐Ÿ‡งEnglish

๐ŸŒฟ Surds โ€“ GCSE

Maths ยท GCSE โ€” simplifying, multiplying and expanding surds and rationalising the denominator

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Questions

Write โˆš50 in its simplest surd form:

25โˆš2
5โˆš2
2โˆš5
10โˆš5
20s

What is โˆš3 ร— โˆš12?

6
โˆš15
4โˆš3
12
20s

Simplify 3โˆš5 + 4โˆš5:

12โˆš25
7โˆš10
12โˆš5
7โˆš5
20s

What is โˆš48 รท โˆš3?

16
4โˆš3
4
2โˆš3
20s

Simplify โˆš12 + โˆš27:

5โˆš6
โˆš39
5โˆš3
6โˆš3
30s

Simplify 2โˆš3 ร— 5โˆš6:

30โˆš3
30โˆš2
10โˆš3
7โˆš18
30s

Rationalise the denominator of 6/โˆš3:

3โˆš3
2โˆš3
6โˆš3
โˆš2
30s

Expand and simplify (3 + โˆš2)ยฒ:

11 + 3โˆš2
11 + 6โˆš2
9 + 6โˆš2
11
30s

Rationalise the denominator of 1/(3 + โˆš2):

(3 + โˆš2)/7
(3 โˆ’ โˆš2)/5
(3 โˆ’ โˆš2)/7
(3 โˆ’ โˆš2)/11
60s

Rationalise the denominator and simplify 4/(โˆš5 โˆ’ 1):

4โˆš5 + 4
โˆš5 + 1
โˆš5 โˆ’ 1
(โˆš5 + 1)/6
60s