model 4 simplifying roots with values Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 5 EXERCISES
The following question based on power, indices and surds topic of quantitative aptitude
(a) 2.57
(b) 2.58
(c) 1.59
(d) 1.60
The correct answers to the above question in:
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)
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Read more simplifying roots with values Based Quantitative Aptitude Questions and Answers
Question : 1
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
Question : 2
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 : 3
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
GET power, indices and surds PRACTICE TEST 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
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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