Scribd
Upload
170 views2 pages

Simplifying Surds: Examples

This document provides examples and exercises for simplifying surds, or square roots of non-perfect squares. It gives the steps for simplifying surds like √12 and √18. There are then three exercises consisting of 15 problems each to simplify surds such as √80, √108, and √300.

Uploaded by

Banny_boy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
170 views2 pages

Simplifying Surds: Examples

This document provides examples and exercises for simplifying surds, or square roots of non-perfect squares. It gives the steps for simplifying surds like √12 and √18. There are then three exercises consisting of 15 problems each to simplify surds such as √80, √108, and √300.

Uploaded by

Banny_boy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 2

Simplifying Surds

Examples

√ 12 = √ 4 × 3 √ 18 = √ 9 ×2
= √4× √3 = √9 ×√2
= 2√ 3 = 3√ 2

Simplify the following surds.

Exercise 1

a) √ 8 b) √ 12 c) √ 20 d) √ 24 e) √ 27

f) √ 32 g) √ 40 h) √ 45 i) √ 54 j) √ 50

k) √ 90 l) √ 72 m) √ 48 n) √ 28 o) √ 44

Exercise 2

a) √ 75 b) √ 63 c) √ 80 d) √ 52 e) √ 160

f) √ 108 g) √ 125 h) √ 98 i) √ 150 j) √ 96

k) √ 99 l) √ 56 m) √ 60 n) √ 68 o) √ 76

Exercise 3

a) √ 147 b) √ 216 c) √ 128 d) √ 250 e) √ 162

f) √ 112 g) √ 176 h) √ 117 i) √ 126 j) √ 224

k) √ 135 l) √ 180 m) √ 192 n) √ 240 o) √ 300

M Spence © 2015
Simplifying Surds
Solutions

Exercise 1

a) 2 √2 b) 2 √ 3 c) 2 √5 d) 2 √ 6 e) 3 √3

f) 4 √2 g) 2 √10 h) 3 √ 5 i) 3 √6 j) 5 √2

k) 3 √ 10 l) 6 √ 2 m) 4 √3 n) 2 √7 o) 2 √ 11

Exercise 2

a) 5 √ 3 b) 3 √ 7 c) 4 √5 d) 2 √13 e) 4 √1 0

f) 6 √ 3 g) 5 √ 5 h) 7 √ 2 i) 5 √6 j) 4 √6

k) 3 √ 11 l) 2 √14 m) 2 √ 15 n) 2 √ 17 o) 2√ 19

Exercise 3

a) 7 √ 3 b) 6 √ 6 c) 8 √ 2 d) 5 √ 10 e) 9 √2

f) 4 √7 g) 4 √11 h) 3 √ 13 i) 3 √ 14 j) 4√ 1 4

k) 3 √ 15 l) 6 √ 5 m) 8 √3 n) 4 √ 15 o) 10 √ 3

M Spence © 2015

You might also like