Question 12 Marks
Show that is irrational:
$\frac{6}{\sqrt{3}}$
View full question & answer→Question 22 Marks
Show that is irrational:
$(\sqrt{5}+\sqrt{3})^2$
View full question & answer→Question 32 Marks
Show that is irrational:
$(3-\sqrt{3})^2$
View full question & answer→Question 42 Marks
Show that is irrational:
$(2+\sqrt{5})^2$
View full question & answer→Question 52 Marks
State, giving reason, whether the given number is rational or irrational:
$(3+\sqrt{3})(3-\sqrt{3})$
View full question & answer→Question 62 Marks
State, giving reason, whether the given number is rational or irrational:
$\frac{3}{\sqrt{2}}$
View full question & answer→Question 72 Marks
State, giving reason, whether the given number is rational or irrational:
$\frac{\sqrt{6}}{4}$
View full question & answer→Question 82 Marks
State, giving reason, whether the given number is rational or irrational:
$-\sqrt{7}$
View full question & answer→Question 92 Marks
State, giving reason, whether the given number is rational or irrational:
$5 \sqrt{6}$
View full question & answer→Question 102 Marks
State, giving reason, whether the given number is rational or irrational:
$(-1+\sqrt{3})$
View full question & answer→Question 112 Marks
State, giving reason, whether the given number is rational or irrational:
$(3+\sqrt{5})$
View full question & answer→Question 122 Marks
Write down the values of:
$(5-6 \sqrt{3})^2$
Answer$(133-60 \sqrt{3})$
View full question & answer→Question 132 Marks
Write down the values of:
$\left(\frac{3}{2 \sqrt{2}}\right)^2$
Answer$\frac{9}{8} \quad$
View full question & answer→Question 142 Marks
Write down the values of:
$(\sqrt{5}+\sqrt{6})^2$
Answer$(11+2 \sqrt{30}) \quad$
View full question & answer→Question 152 Marks
Write down the values of:
$(3+2 \sqrt{5})^2$
View full question & answer→Question 162 Marks
Write down the values of:
$(\sqrt{6}-3)^2$
View full question & answer→Question 172 Marks
Write down the values of:
$(5+\sqrt{3})^2$
View full question & answer→Question 182 Marks
Write down the values of:
$\left(\frac{3}{2} \sqrt{2}\right)^2$
View full question & answer→Question 192 Marks
Write down the values of:
$(2 \sqrt{3})^2$
View full question & answer→Question 202 Marks
Represent each of the following on the real line.
(i) $\sqrt{3}$
(ii) $\sqrt{5}$
(iii) $\sqrt{6}$
(iv) $\sqrt{10}$
View full question & answer→Question 212 Marks
Express the following as a vulgar fraction in simplest form:
$1.5 \overline{7}$
View full question & answer→Question 222 Marks
Express the following as a vulgar fraction in simplest form:
$0.1 \overline{36}$
View full question & answer→Question 232 Marks
Express the following as a vulgar fraction in simplest form:
$0.1 \overline{2}$
View full question & answer→Question 242 Marks
Express the following as a vulgar fraction in simplest form:
$4 . \overline{17}$
View full question & answer→Question 252 Marks
Express the following as a vulgar fraction in simplest form:
$1 . \overline{3}$
View full question & answer→Question 262 Marks
Express the following as a vulgar fraction in simplest form:
$0 . \overline{158}$
View full question & answer→Question 272 Marks
Express the following as a vulgar fraction in simplest form:
$0 . \overline{43}$
View full question & answer→Question 282 Marks
Express the following as a vulgar fraction in simplest form:
$0 . \overline{5}$
View full question & answer→Question 292 Marks
By actual division, show that:
$\frac{21}{55}=0.3 \overline{81}$
View full question & answer→Question 302 Marks
By actual division, show that:
$\frac{107}{45}=2.3 \overline{7}$
View full question & answer→Question 312 Marks
By actual division, show that:
$\frac{43}{11}=3 . \overline{90}$
View full question & answer→Question 322 Marks
By actual division, show that:
$\frac{11}{9}=1 . \overline{2}$
View full question & answer→Question 332 Marks
Convert the following fractions into a decimal:
$1 \frac{31}{55}$
Answer$1.5 \overline{63}$
View full question & answer→Question 342 Marks
Convert the following fractions into a decimal:
$2 \frac{5}{12}$
Answer$2.41 \overline{6}$
View full question & answer→Question 352 Marks
Convert the following fractions into a decimal:
$\frac{27}{44}$
Answer$0.61 \overline{36}$
View full question & answer→Question 362 Marks
Convert the following fractions into a decimal:
$\frac{12}{13}$
Answer$0 . \overline{923076}$
View full question & answer→Question 372 Marks
Convert the following fractions into a decimal:
$\frac{11}{24}$
Answer$0.458 \overline{3}$
View full question & answer→Question 382 Marks
Convert the following fractions into a decimal:
$\frac{44}{9}$
View full question & answer→Question 392 Marks
Convert the following fractions into a decimal:
$\frac{3}{32}$
View full question & answer→Question 402 Marks
Convert the following fractions into a decimal:
$\frac{1}{8}$
View full question & answer→Question 412 Marks
Convert decimals into a vulgar fraction in its lowest term:
$1.732$
View full question & answer→Question 422 Marks
Convert decimals into a vulgar fraction in its lowest term:
$2.016$
View full question & answer→Question 432 Marks
Convert decimals into a vulgar fraction in its lowest term:
$0.075$
View full question & answer→Question 442 Marks
Convert decimals into a vulgar fraction in its lowest term:
$1.08$
View full question & answer→Question 452 Marks
Convert decimals into a vulgar fraction in its lowest term:
$0.65$
View full question & answer→Question 462 Marks
Without actual division, find which of the fractions are terminating decimal:
$\frac{19}{30}$
View full question & answer→Question 472 Marks
Without actual division, find which of the fractions are terminating decimal:
$\frac{37}{78}$
View full question & answer→Question 482 Marks
Without actual division, find which of the fractions are terminating decimal:
$\frac{19}{55}$
View full question & answer→Question 492 Marks
Without actual division, find which of the fractions are terminating decimal:
$\frac{121}{125}$
View full question & answer→Question 502 Marks
Without actual division, find which of the fractions are terminating decimal:
$\frac{9}{50}$
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