| Find the square root of \[\frac{{{(0.75)}^{3}}}{1-0.75}+[0.75+{{(0.75)}^{2}}+1]\] is |
A) 1
B) 3
C) 2
D) 4
Correct Answer: C
Solution :
| \[\sqrt{\frac{{{(0.75)}^{3}}}{(1-0.75)}+[0.75+{{(0.75)}^{2}}+1]}\] |
| \[=\sqrt{\frac{{{(0.75)}^{3}}+(1-0.75)\,\,[{{(1)}^{2}}+{{(0.75)}^{2}}+1\times 0.75]}{1-0.75}}\] |
| \[=\sqrt{\frac{{{(0.75)}^{3}}+[{{(1)}^{3}}-{{(0.75)}^{3}}}{1-0.75}}\] |
| \[=\sqrt{\frac{1}{0.25}}=\sqrt{\frac{100}{25}}=\sqrt{4}=2\] |
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