| The square root of \[\frac{{{(0.75)}^{3}}}{1-0.75}+[0.75+{{(0.75)}^{2}}+1]\] |
A) 1
B) 2
C) 3
D) 4
Correct Answer: B
Solution :
| \[x=\sqrt{\frac{{{(0.75)}^{3}}}{(1-0.75)}+[0.75+{{(0.75)}^{2}}+1]}\] |
| \[=\sqrt{\frac{{{(0.75)}^{3}}}{(0.25)}+[1.75+0.5625]}\] |
| \[=\sqrt{\frac{{{(0.75)}^{3}}+(0.25)[2.3125]}{(0.25)}}\] |
| \[=\sqrt{\frac{{{(0.75)}^{3}}+0.578125}{0.25}}=\sqrt{\frac{100}{25}}=\sqrt{4}=2\] |
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