Given \sqrt{1 +55/ 729 }=1 +x/27, then x equals:

Powers and Roots Practice Test 1

Question : 14 of 40

Marks: +1, -0

Given

√{1 +55/ 729 }=1 +x/27

, then x equals:

Solution:

√{1 +55/ 729 }=1 +x/27

⇒√{{729+55}/729}=1+x/27

⇒√{784/729}=1+x/27

⇒28/27-1=x/27

⇒1/27=x/27

∴ x = 1

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