Question

Write down 5 irrational numbers in radical form which are lying between 4 and 5 .​

Answer 1

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4=√16 (

$4 {}^{2} = 16$

5=√25

$5 {}^{2} = 25$

Hence 5 irrational no between 4 and 5 will be between √16 and √25 i.e √17 ,√18,√19,√20 and √21.

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Answer 2

Answer:

The 5 irrational numbers in radical form between 4 and 5 are $\sqrt{17}, \sqrt{18}, \sqrt{19}, \sqrt{20},\sqrt{21}$.

Step-by-step explanation:

To Find:- 5 irrational numbers in radical form between 4 and 5.

Solution:-

An irrational number is a form of real number which cannot be expressed as a ratio of two integers or as a simple fraction. For Example - $\sqrt{2}, \sqrt{3}, etc.$

A radical form is something where the symbol "$\sqrt{}$" is used to denote a square root or nth roots.

The radical form of 4 will be $\sqrt{16}$ and that of 5 will be $\sqrt{25}$.

Let x be the irrational numbers.

Therefore, 4 < x < 5

$\sqrt{16} < \sqrt{x} < \sqrt{25}$

$\sqrt{16}, \sqrt{17}, \sqrt{18}, \sqrt{19}, \sqrt{20}, \sqrt{21} ,\sqrt{22}, \sqrt{23}, \sqrt{24} ,\sqrt{25}$

Therefore, the 5 irrational numbers in radical form between 4 and 5 are $\sqrt{17}, \sqrt{18}, \sqrt{19}, \sqrt{20},\sqrt{21}$.

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