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Lesson details
Key learning points
- In this lesson, we will learn what a surd is and we will explore how to accurately estimate the value of a surd.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
7 Questions
Q1.
All integers are rational numbers
False
Q2.
Recurring decimals such as 0.3333.... are considered as irrational numbers.
True
Q3.
Which of these is an irrational number?
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137905%2Fpecg18cowutqbgqqvdmp.png&w=384&q=75)
A
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707139290%2Ff9utbjkfitveodlvsh7r.png&w=384&q=75)
B
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140323%2Flknxbi7voq6pi6jot35z.png&w=384&q=75)
C
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707141048%2Fcvxpxez4s2kgrojbnvft.png&w=384&q=75)
Q4.
Which of these is an irrational number?
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137913%2Fjpt2i97gxjb7vk6c4dyx.png&w=384&q=75)
A
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707197358%2Fn3u2m69h2pknef5zjzs1.png&w=384&q=75)
B
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707202115%2Fnfuhcfctp5ce69raeprp.png&w=384&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203563%2Ftaddajaouosi2yj6lv7g.png&w=640&q=75)
D
Q5.
All rational numbers can be written as a fraction.
False
Q6.
The square root of all square numbers are irrational numbers.
True
Q7.
Which of these is a rational number?
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137918%2Fnvnuq3q9pl7eyapeuhpn.png&w=384&q=75)
A
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707197336%2Fxqm28blexjep9zuz0tfm.png&w=384&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707202618%2Fxwtvnx1ahszlxilettpj.png&w=384&q=75)
C
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203812%2Fjhxpkaqdba5kuylujc8x.png&w=384&q=75)
D
6 Questions
Q1.
√9 is a surd
Option 3
Option 4
Option 5
True
Q2.
Which of the following is a surd
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137512%2Fdryqsrxvzsswuqgkhpz7.png&w=256&q=75)
A
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707198504%2Fj1bhbkma3jxk5vp7p2gt.png&w=384&q=75)
B
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707200997%2Frh3ckyzmojjgl0blz3kc.png&w=384&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203145%2Ft8iweqzxjbhws5hdzk7w.png&w=384&q=75)
D
Q3.
Which on the following is NOT a surd
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137516%2Fc6vi2tlxcftc3h0tqeos.png&w=256&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707139076%2Flhahjkbrrqcozrpoaktl.png&w=256&q=75)
B
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140129%2Fkugqj4eqqzob8h8waevx.png&w=256&q=75)
C
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140914%2Fbnutxl1antfbqpdcffzs.png&w=256&q=75)
D
Q4.
Which of the following is a surd?
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137539%2Fem9ghzchl4kenlykkoiz.png&w=384&q=75)
A
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707198026%2Fp1whscxdgxbcgp4dv4go.png&w=384&q=75)
B
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707200694%2Fjbdsbwubiduaqdjur6nn.png&w=384&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203062%2Fo0njxusxslntwnwjhpme.png&w=384&q=75)
D
Q5.
Evaluate √49
24.5
98
Q6.
Estimate √57
28.2
28.5
7.2