Question

show that x is rational if:
x² = 1$\frac{7}{9}$

Answer 1

Answer:

$\frac{4}{3}$

Step-by-step explanation:

${x}^{2} = 1 \frac{7}{9} \\ {x}^{2} = \frac{16}{9} \\ x = \sqrt{ \frac{16}{9} } \\ this \: can \: be \: also \: written \: as \\ x = \frac{ \sqrt{16} }{ \sqrt{9} } \\ x = \frac{4}{ 3}$

you can see x is a rational number as the answer is in the form of

$\frac{p}{q}$

where q is not equal to 0

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