Question

Classify the following numbers as rational or irrational with justification
1)
$\sqrt{196}$
2)
$3 \sqrt{18}$
3)
$\sqrt{ \frac{9}{27} }$
4)
$\frac{ \sqrt{28}} { \sqrt{343} }$
5)
$- \sqrt{0.4}$
6)
$\frac{ \sqrt{12} }{ \sqrt{75} }$
7)
$0.5918$
8)
$(1 + \sqrt{5) } - (4 + \sqrt{5)}$
9)
$10.124124...$
10)
$1.010010001...$
please experts help me to solve these all









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Answer 1

Step-by-step explanation:

$\sqrt{196} = 14$

Rational

$3 \sqrt{18} = 162$

Rational

$\sqrt{ \frac{9}{27} } = \frac{3}{3 \sqrt{3} }$

irrational

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

$- \sqrt{0.4} = irrational$

$\sqrt{ \frac{12}{75} } = irrational$

0. 5918=rational

$(1 + \sqrt{5} ) - (4 + \sqrt{5} ) = irrational$

10. 124125= irrational

1. 010010001= irrational