If q>0.9, which of the following options can be the value of q?  Choose the correct option:
A) 0.9^2
B) √(0.9)
C) 0.09
D) 0.9
E) 0.9^3
Lets take a few examples   When .2 is squared it gives .04   when .5 is squared it gives .25   When .9 is squared it gives .81   So raising a fraction to its power of 2 or 3 only reduces the value of the fraction   This is because   .2 = 2/10   .2^2= 4/100   .2^3=8/1000   Since the denominator gets an extra 0 each time u increase the power , it is going to drag the value down   √(0.9)ut if you just think about the opposite case :   Then we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value   that is √(0.04) will give you back 0.2   so √(0.04) &gt; 0.04   so obviously diminishing the power will appreciate the value   So q √(0.9) &gt; 0.9   Hence Correct Answer is (√(0.9))
<result>B</result>
If q>0.9, which of the following options can be the value of q?