Question

Examine whether the following numbers are rational or irrational 3 root 8 by root 2​ how solve this sum

Answer 1

Answer:

$3\sqrt{8}/\sqrt{2} = 3\sqrt{4}$ is an irrational number

Step-by-step explanation:

because root 8 divided by root 2 gives root 4 (formula= $\frac{\sqrt{a} }{\sqrt{b} }$)

CONCLUSION: 3 root 4 is an irrational number.

thnx..

Answer 2

The given question is that we have to find whether the given expression is rational or irrational

The expression of given question is

$\frac{3 \sqrt{8} }{ \sqrt{2} }$

the given expression can be written as

$\frac{3 \times \sqrt{4 \times 2} }{ \sqrt{2} } \\ = \frac{3 \times 2 \times \sqrt{2} }{ \sqrt{2} } \\ \frac{6 \sqrt{2} }{ \sqrt{2} }$

8 can be split into 4 and 2 The square root of 4 is 2.

√2 and √2 will get cancelled therefore the final answer will be 6.

6 is a integer and also a rational number

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