[4 marks sum]

Question 14 Marks

Find the value of $\sqrt{15625}$ and hence evaluate $\sqrt{156 \cdot 25}+\sqrt{1 \cdot 5625}$.

Answer

125; 13.75

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Question 24 Marks

Find the value of :
$\frac{\sqrt{1183}}{\sqrt{2023}}$

Answer

$\frac{13}{17}$

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Question 34 Marks

Find the value of :
$\frac{\sqrt{243}}{\sqrt{867}}$

Answer

$\frac{9}{17}$

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Question 44 Marks

Find the square root of :
$\frac{1089}{4624}$

Answer

$\frac{33}{68}$

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Question 54 Marks

Find the square root of :
$3 \frac{942}{2209}$

Answer

$1 \frac{40}{47}$

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Question 64 Marks

Find the square root of :
$4 \frac{73}{324}$

Answer

$2 \frac{1}{18}$

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Question 74 Marks

Find the square root of :
$3 \frac{13}{36}$

Answer

$1 \frac{5}{6}$

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Question 84 Marks

By which least number should the given number be divided to obtain a perfect square number and also, find the resulting perfect square number and its square root :
8820

Answer

5; 1764; 42

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Question 94 Marks

By which least number should the given number be divided to obtain a perfect square number and also, find the resulting perfect square number and its square root :
7776

Answer

6; 1296; 36

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Question 104 Marks

By which least number should the given number be divided to obtain a perfect square number and also, find the resulting perfect square number and its square root :
4500

Answer

5; 900; 30

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Question 114 Marks

By which least number should the given number be divided to obtain a perfect square number and also, find the resulting perfect square number and its square root :
1728

Answer

3; 576; 24

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Question 124 Marks

Find the smallest number must be multiplied to get a perfect square number and also, find the square root of the resulting number :
3380

Answer

5; 130

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Question 134 Marks

Find the smallest number must be multiplied to get a perfect square number and also, find the square root of the resulting number :
3332

Answer

17; 238