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 : 11
Given that $√5$ = 2.24, then the value of ${3√5}/{2√5 -0.48}$ is
a) 168
b) 16.8
c) 0.168
d) 1.68
Answer »Answer: (d)
Expression=${3√5}/{2√5 -0.48}$
=${3×2.24}/{2×2.24-0.48}={6.72}/{4.48-0.48}$
=$6.72/4=1.68$
Question : 12
If $√15$ = 3.88, then what is the value of $√{5/3}$
a) 1.295
b) 1.29
c) 1.29$\ov{3}$
d) 1.2934
Answer »Answer: (c)
$√15$=3.88(Given)
Now, $√{5/3}=√{{5×3}/{3×3}}=√15/3$
=$3.88/3=1.29\ov{3}$
Question : 13 [SSC DEO 2008]
If $√3$ =1.732, is given, then the value of ${2+ √3}/{2 -√3}$ is
a) 13.925
b) 12.928
c) 11.732
d) 13.928
Answer »Answer: (d)
Expression
=${2+ √3}/{2 -√3}={(2+ √3)(2+ √3)}/{(2- √3)(2+ √3)}$
[On rationalising the denominator]
=${(2+√3)^2}/{4-3}=(2+√3)^2$
=$2^2+(√3)^2+2×2×√3$
=$4+3+4√3$
= 7 + 4 × 1.732 = 7 + 6.928
= 13.928
Question : 14 [SSC CHSL 2015]
If $√7$ = 2.646, then the value of $1/√28$ up to three places of decimal is :
a) 0.189
b) 0.187
c) 0.183
d) 0.185
Answer »Answer: (a)
$1/√28=1/{2√7}$
=$√7/{2√7×√7}=√7/14$
=$2.646/14=0.189$
Question : 15 [SSC CGL Tier-II 2015]
If $√5329$ = 73, then the value of $√5329 + √53.29 + √0.5329 + √0.005329 + √0.00005329$ is
a) 81.1013
b) 81.1103
c) 81.1003
d) 81.0113
Answer »Answer: (b)
$√5329 + √53.29 + √0.5329 + √0.005329 + √0.00005329$
$√5329$ = 73
= 73 + 7.3 + 0.73 + 0.073 + 0.0073
= 81.1103
IMPORTANT quantitative aptitude EXERCISES
model 4 simplifying roots with values Shortcuts »
Click to Read...model 4 simplifying roots with values Online Quiz
Click to Start..power, indices and surds Shortcuts and Techniques with Examples
-
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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