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1.02 Surds

Interactive practice questions

Evaluate (to one decimal place if necessary):

a

$\sqrt{7}$7$=$=$\editable{}$

$\sqrt{20}$20$=$=$\editable{}$

$\sqrt{27}$27$=$=$\editable{}$

b

Does $\sqrt{7}+\sqrt{20}=\sqrt{27}$7+20=27?

Yes

A

No

B
c

In general does $\sqrt{k}+\sqrt{m}=\sqrt{k+m}$k+m=k+m?

Yes

A

No

B
Easy
1min

Simplify: $8\sqrt{3}+18\sqrt{3}$83+183

Easy
< 1min

Simplify: $-12\sqrt{5}+6\sqrt{5}-12\sqrt{5}$125+65125

Easy
< 1min

Simplify: $8\sqrt{6}+17\sqrt{13}+19\sqrt{6}-6\sqrt{13}$86+1713+196613

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

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