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Alenkasestr [34]
3 years ago
13

If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,

a d) a, a², √a ​
Mathematics
2 answers:
viktelen [127]3 years ago
5 0

Step-by-step explanation:

None of these,

a(under root),a, a(square)

this is the correct answer

Vlad1618 [11]3 years ago
3 0

Hello,

0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2}  \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq  0.7071...

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