Master all past questions related to Surds.
29 questions across all exams
Simplify: ½√32 - √18 +√2
0
√2
2√2
4√2
Simplify: 23−63+3272\sqrt{3}-\frac{6}{\sqrt{3}}+\frac{3}{\sqrt{27}}23−36+273
1
133\frac{1}{3}\sqrt{3}313
23−5232\sqrt{3}-5\frac{2}{3}23−532
63−176\sqrt{3}-1763−17
Simplify: √50 + 10 √2
10
10√2
20
20√2
Simplify 3√45 - 12√5 + 16√20, leaving your answers in surd form.
29√5
14√15
12√15
11√5
If √2+√3 √3 is simplified as m + n√6, find the value of (m + n).
1/ 3
2/3
1131\frac13131
1231\frac23132
Simplify: √l2(√48-√3).
18
16
14
12
Simplify: ( 10√3 √5 − √15)2
75.00
15.00
8.66
3.87
If √72 +√32 − 3√18 = x√8, find the value of x.
3/4
1/2
1/4
Simplify: 3√5 𝑥 4√6 2√2 𝑥 3√3
√5
2√5
If 50−K8=22\sqrt{50}-K\sqrt{8}=\frac{2}{\sqrt{2}}50−K8=22, find KKK.
-2
-1
2
Simplify: √2(√6 + 2√2) - 2√3.
4
√3 + 4
4√3 + 4
Simplify: √108 +√125 -√75
√3 + 5√5
6√3 - 5√5
6√3 + √2
6√3 - √2
Evaluate √20 x (√5)3
25
50
If 𝑲 √𝟐𝟖 + √𝟔𝟑 −√ 𝟕= 𝟎 , 𝒇𝒊𝒏𝒅 𝑲
Simplify 3√12 + 10√3 - 6/√3
7√3
10√3
14√3
18√3
Given that √128 + √18 - √k = 7 √2, find k.
8
32
48
Simplify: 5 √3 − 3 √2
1 6 (5√3 − 3√2)
1 6 (15√3 − 6√2)
1 6 (3√2 − √3)
1 6 (10√3 − 9√2)
Simplify: 20528−263\frac{20}{5\sqrt{28}-2\sqrt{63}}528−26320
577\frac{5\sqrt{7}}{7}757
557\frac{5\sqrt{5}}{7}755
755\frac{7\sqrt{5}}{5}575
775\frac{7\sqrt{7}}{5}577
Simplify 1032\frac{10}{\sqrt{32}}3210.
542\frac{5}{4}\sqrt{2}452
452\frac{4}{5}\sqrt{2}542
5162\frac{5}{16}\sqrt{2}1652
1652\frac{16}{5}\sqrt{2}5162
Simplify 4√18 √8
3
6
Evaluate 2√28 −3√50 + √72
4√7 −21√2
4√7 −11√2
4√7 −9√2
4√7 + √2
If 2𝑎= √64 𝑎𝑛𝑑 𝑏 𝑎= 3, 𝑒𝑣𝑎𝑙𝑢𝑎𝑡𝑒 𝑎2 + 𝑏2
250
160
90
Given that √3+ √5 √5 = 𝑥+ 𝑦√15, Find the value of (x+y).
1351\frac35153
1251\frac25152
1151\frac15151
15\frac1551
Which of the following is not a rational number?
-5
√4
33/4
√90
Simplify: 2√7 - 14 √7 + 7 √21
√21/ 21
7√21/ 3
√21/ 3
3√21
If √24 + √96 − √600 = y √6 , find the value of y.
-4
Simplify: 3√12 + 10√3 – 𝟔 √3.
If (𝟑 − 𝟒√𝟐)(𝟏 + 𝟑√𝟐) = 𝒂 + 𝒃√𝟐, find the value of b.
5
-21
21
Simplify √𝟐𝟎𝟎 − √𝟕𝟐
8√2
