model 4 simplifying roots with values Practice Questions Answers Test with Solutions & More Shortcuts
power, indices and surds PRACTICE TEST [5 - EXERCISES]
model 1 find largest and smallest value
model 2 based on simplification
model 3 based on positive and negative exponent
model 4 simplifying roots with values
model 5 simplifying roots of roots
Question : 16 [SSC CHSL 2010]
If $√2$ = 1.4142… is given, then the value of $7/{(3 +√2)}$ correct upto two decimal places is
a) 2.57
b) 2.58
c) 1.59
d) 1.60
Answer »Answer: (c)
$7/{(3 +√2)}={7(3-√2)}/{(3+√2)(3-√2)}$
[Rationalising the denominator]
=${7(3-√2)}/{9-2}$
$[(a+b)(a-b)=a^2-b^2]$
=$3-√2$
= 3 - 1.4142 = 1.5858
= 1.59 (correct to two decimal places)
IMPORTANT quantitative aptitude EXERCISES
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Click to Start..power, indices and surds Shortcuts and Techniques with Examples
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model 1 find largest and smallest value
Defination & Shortcuts … -
model 2 based on simplification
Defination & Shortcuts … -
model 3 based on positive and negative exponent
Defination & Shortcuts … -
model 4 simplifying roots with values
Defination & Shortcuts … -
model 5 simplifying roots of roots
Defination & Shortcuts …
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