Square Root MCQ & Answers [PDF Download]

Square Root questions form the foundation of quantitative aptitude in competitive examinations including Bank PO, SSC CGL, Railways, and other mathematical reasoning tests. These problems require understanding of perfect squares,...

What is the value of √(∛64)?

If √(x² + 16) = x + 2, then what is the value of x?

What is the value of √4 × √9 × √16?

What is the value of (√3 + √2)(√3 - √2)?

If √(x + 7) - √(x - 2) = 1, then what is the value of x?

What is the value of √(169 + 56) + √(100 - 36)?

If √x + 1/√x = 3, then what is the value of x + 1/x?

What is the simplified form of √(48) + √(75) - √(12)?

What is the value of √(7 + 4√3)?

10.

What is the value of √0.0064?

11.

If √a + √b = 7 and √a - √b = 1, then what is the value of √(ab)?

12.

What is the rationalized form of 1/(√5 - √3)?

13.

If x = √(5 + 2√6), then what is the value of x²?

14.

What is the value of √(5√(5√5))?

15.

What is the value of √(6 + 2√5) - √(6 - 2√5)?

16.

If √x = 2√2, then what is the value of x^(3/2)?

17.

What is the value of √(2 + √3) × √(2 - √3)?

18.

If x = √7 + √5 and y = √7 - √5, then what is the value of x² + y²?

19.

What is the value of √(0.25) + √(0.36) - √(0.16)?

20.

If √(a² + b²) = 13 and ab = 60, then what is the value of a + b?

21.

If √(x - 5) + √(x + 4) = 3, then what is the value of x?

22.

What is the value of (√2 + 1)²(√2 - 1)²?

23.

If √a = 2 + √3, then what is the value of a + 1/a?

24.

What is the value of √(2√(2√2))?

25.

If √x + √y = 4 and x + y = 10, then what is the value of xy?

26.

What is the value of ³√(64) + ³√(27) - ³√(8)?

27.

If √(2x - 3) = 5, then what is the value of x?

28.

What is the value of ∜(81) × ∜(16)?

29.

What is the value of √(8 - 2√15)?

30.

If √(x² - 6x + 9) = x - 3, then what values can x take?