Question

os Find the greatest and the smallest
numbers among the following real numbers-
2 root 3, 3 by root 2, minus root 7, root 15. Give me answer fast please.​

Answer 1

SOLUTION

TO DETERMINE

The greatest and the smallest number among the following real numbers-

2√3 , 3√2 , - √7 , √15

EVALUATION

Here the given real numbers are

2√3 , 3√2 , - √7 , √15

Now we simplify them as below

$\sf{2 \sqrt{3} = \sqrt{(2 \times 2 \times 3)} = \sqrt{12} }$

$\sf{3 \sqrt{2} = \sqrt{3 \times 3 \times 2} = \sqrt{18} }$

$\sf{ - \sqrt{7} }$

$\sqrt{15}$

Clearly

$\sf{ \sqrt{18} > \sqrt{15} > \sqrt{12} > - \sqrt{7} }$

Hence the greatest number = 3√2 and the Smallest number = - √7

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