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Answer 1

Answer:

1. 3√5/5

2. √14/14

3. 5√7/7

4. 2√3/9

5. 11√3/3

Step-by-step explanation:

Answer 2

$\huge\bold\red{Solution}$

$1) \frac{3}{ \sqrt{5} }$

$= \frac{3}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} }$

• Multiplying the numerator and denominator by √5

$= \frac{3 \sqrt{5} }{ \sqrt{5 \times 5} } = \frac{3 \sqrt{5} }{5}$

$\huge\fbox\pink{✯Answer✯}$

$= \frac{3 \sqrt{5} }{5}$

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$2) \frac{1}{ \sqrt{14} }$

$= \frac{1}{ \sqrt{14} } \times \frac{ \sqrt{14} }{ \sqrt{14} }$

• Multiplying the numerator and denominator by √14

$= \frac{ \sqrt{14} }{ \sqrt{14 \times \sqrt{14} } } = \frac{ \sqrt{14} }{14}$

$\huge\fbox\pink{✯Answer✯}$

$= \frac{ \sqrt{14} }{14}$

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$3) \frac{5}{ \sqrt{7} }$

$= \frac{5}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }$

• Multiplying the numerator and denominator by √7

$= \frac{5 \sqrt{7} }{ \sqrt{7 \times \sqrt{7} } } = \frac{5}{7} \sqrt{7}$

$\huge\fbox\pink{✯Answer✯}$

$= \frac{5}{7} \sqrt{7}$

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$4) \frac{6}{9 \sqrt{3} }$

$= \frac{6}{9 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

• Multiplying the numerator and denominator by √3

$= \frac{6 \sqrt{3} }{9 \times \sqrt{3 \times \sqrt{3} } } = \frac{6 \sqrt{3} }{9 \times 3} = \frac{2 \sqrt{3} }{9}$

$\huge\fbox\pink{✯Answer✯}$

$= \frac{2 \sqrt{3} }{9}$

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$5) \frac{11}{ \sqrt{3} }$

$= \frac{11}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

• Multiplying the numerator and denominator by √3

$= \frac{11 \sqrt{3} }{ \sqrt{3 \times \sqrt{3} } } = \frac{11 \sqrt{3} }{3}$

$\huge\fbox\pink{✯Answer✯}$

.

$= \frac{11 \sqrt{3} }{3}$

$\huge\boxed{\dag\sf\red{Thanks}\dag}$