The greater between √17 - √12 and √11 - √6 is [Do without calculator]
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√17 - √12 < √11 - √6
Step-by-step explanation:
√17 - √12 ? √11 - √6
add both sides
√12 + √6
=> √17 - √12 + √12 + √6 ? √11 - √6 + √12 + √6
=> √17 + √6 ? √11 + √12
Both are positive numbers hence Square of greater number would be greater
Squaring both sides
=> 17 + 6 + 2√17√6 ? 11 + 12 + 2√11 √12
=> 23 + 2√102 ? 23 + 2√132
Subtracting 23 from both sides
=> 2√102 ? 2√132
Dividing by 2 both sides
=> √102 ? √132
as 102 < 132
=> √102 < √132
=> √17 - √12 < √11 - √6
Learn more:
7,2√5 Compare the given pair of surd. - Brainly.in
https://brainly.in/question/11759962
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