Question

√ 28/343 is rational or irrational​

Answer 1

Here Is Your Ans

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$\frac{ \sqrt{28} }{343}$

is an Rational number

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Answer 2

$\sqrt{28 } = \sqrt{4 \times 7} = 2 \sqrt{7} \\ \\ \sqrt{343 } = \sqrt{7 \times 7 \times 7} = 7 \sqrt{7} \\ \\ thus \: \sqrt{28} \div \sqrt{343} = \: 2 \sqrt{7} \div 2 \sqrt{7} = 2 \div 7$

alternatively , set the value to x .

x²=28/343= 4/49

x=√4/√49 = 2/7

which is not irrational.