Square Root and Cube Root Questions Answers

Square Root and Cube Root Questions Answers (MCQ) listings with explanations are important for BANK PO, Clerk, IBPS, SBI-PO, RBI, MBA, MAT, CAT, IIFT, IGNOU, SSC CGL, CBI, CPO, CLAT, CTET, NDA, CDS, Specialist Officers and other competitive exams.

21) if a = 0.1039, then the value of \begin{aligned} \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}

  • 1) 12.039
  • 2) 1.2039
  • 3) 11.039
  • 4) 1.1039
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Ans.   D
Explanation :
Tip: Please check the question carefully before answering. As 3a is not under the root we can convert it into a formula , lets evaluate now : \begin{aligned} = \sqrt{4a^2 - 4a + 1} + 3a \end{aligned} \begin{aligned} = \sqrt{(1)^2 + (2a)^2 - 2x1x2a} + 3a \end{aligned} \begin{aligned} = \sqrt{(1-2a)^2} + 3a \end{aligned} \begin{aligned} = (1-2a) + 3a \end{aligned} \begin{aligned} = (1-2a) + 3a \end{aligned} \begin{aligned} = 1 + a = 1 + 0.1039 = 1.1039 \end{aligned}

22) Find the value of X \begin{aligned} \sqrt{81} + \sqrt{0.81} = 10.09 - X \end{aligned}

  • 1) 0.019
  • 2) 0.19
  • 3) 0.9
  • 4) 0.109
View Answer View Explanation
Ans.   B
Explanation :
\begin{aligned} => \sqrt{81} + \sqrt{0.81} = 10.09 - X \end{aligned} \begin{aligned} => 9 + 0.9 = 10.09 - X \end{aligned} \begin{aligned} => X = 10.09 - 9.9 = 0.19 \end{aligned}
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