Square and Square Root MCQ Quiz - Objective Question with Answer for Square and Square Root - Download Free PDF
Last updated on May 28, 2025
Latest Square and Square Root MCQ Objective Questions
Square and Square Root Question 1:
Square root of
Answer (Detailed Solution Below)
Square and Square Root Question 1 Detailed Solution
Given:
Square root of
Calculation:
⇒
⇒
⇒ 9/8 × 22/25 × 5/11
⇒ 9/20
⇒ 0.45
∴
Square and Square Root Question 2:
Answer (Detailed Solution Below)
Square and Square Root Question 2 Detailed Solution
Given:
Formula used:
Order of operations (BODMAS): Evaluate powers, roots, multiplication, and addition step-by-step.
Calculation:
⇒ √(√156.25 × 1.44 × 2.5 + √361)
⇒ √(12.5 × 1.44 × 2.5 + 19)
⇒ √(12.5 × 3.6 + 19)
⇒ √(45 + 19)
⇒ √64
⇒ 8
∴ The correct answer is option (3).
Square and Square Root Question 3:
If a =
Answer (Detailed Solution Below)
Square and Square Root Question 3 Detailed Solution
Given:
If a =
Calculation:
If a =
Here, ab = 1 and
a + b = [(√5 + 1)2 + (√5 -1)2]/4 = (5 + 1 + 2√5 + 5 + 1 - 2√5)/4 = 3
(a2 + b2) = (a + b)2 - 2ab = 9 - 2 = 7
∴
Square and Square Root Question 4:
If
Answer (Detailed Solution Below)
Square and Square Root Question 4 Detailed Solution
Given:
Calculations:
= 5.4 + 0.54 + 0.054 + 0.0054
= 5.4 + 0.54 + 0.0594
= 5.4 + 0.5994
= 5.9994
Hence, The simplified value is 5.9994.
Square and Square Root Question 5:
If
Answer (Detailed Solution Below)
Square and Square Root Question 5 Detailed Solution
Calculation:
By cross multiplication:
⇒ 32 × 4 +
Squaring both the sides
⇒ x = 576
∴The value of x is 576.
Top Square and Square Root MCQ Objective Questions
What is the least number to be added to 4523 to make it a perfect square?
Answer (Detailed Solution Below)
Square and Square Root Question 6 Detailed Solution
Download Solution PDFThe square of the numbers are
(66)2 = 4356
(67)2 = 4489
(68)2 = 4624
So, the least number to be added = 4624 - 4523 = 101
Hence, the correct answer is "101".
If
Answer (Detailed Solution Below)
Square and Square Root Question 7 Detailed Solution
Download Solution PDFCalculation:
⇒ √14.44 + √(9 + x2) = 8.8
⇒ 3.8 + √(9 + x2) = 8.8
⇒ √(9 + x2) = 8.8 - 3.8
⇒ √(9 + x2) = 5
⇒ 9 + x2 = 25
⇒ x2 = 25 - 9
⇒ x2 = 16
⇒ x = 4
∴ The value of x is 4.
What is the square root of 9 +
Answer (Detailed Solution Below)
Square and Square Root Question 8 Detailed Solution
Download Solution PDFGiven:
The square root of 9 +
Concept used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
We have,
⇒ 9 +
⇒ 2 + 7 + 2√(2 × 7)
⇒ (√2)2 + (√7)2 + 2 × √2 × √7
Now, according to the above concept,
⇒ (√2 + √7)2
∴ The required square root is √2 + √7.
Answer (Detailed Solution Below)
Square and Square Root Question 9 Detailed Solution
Download Solution PDF
Simplify:
Answer (Detailed Solution Below)
Square and Square Root Question 10 Detailed Solution
Download Solution PDFGiven:
Formula used:
(a + b)2 - (a - b)2 = 4ab
Calculations:
(a + b)2 - (a - b)2
⇒ a2 + b2 + 2ab - {a2 + b2 - 2ab}
⇒ 2ab + 2ab = 4ab
Now,
⇒
∴ The answer is 4
If
Answer (Detailed Solution Below)
Square and Square Root Question 11 Detailed Solution
Download Solution PDFCalculation:
According to the question:
⇒ x = 55
The correct option is 3 i.e. 55The square root of 27225 is:
Answer (Detailed Solution Below)
Square and Square Root Question 12 Detailed Solution
Download Solution PDFSquare root of 27225
Using factorization:
27225 = 3 × 3 × 5 × 5 × 11 × 11
∴ Square root will be = 3 × 5 × 11 = 165
∴ √27225 = 165
Square root of 0.9 is equal to
Answer (Detailed Solution Below)
Square and Square Root Question 13 Detailed Solution
Download Solution PDFConcept used:
Calculation:
⇒
⇒
∴ The square root of 0.9 is equal to 0.9487.
The value of
Answer (Detailed Solution Below)
Square and Square Root Question 14 Detailed Solution
Download Solution PDFGiven:
Calculations:
⇒ 20 + 0.2 + 0.02
⇒ 20.22
∴ The answer is 20.22
If the positive square root of (5 + 3√2) (5 - 3√2) is α, then what is the positive square root of 8 + 2α ?
Answer (Detailed Solution Below)
Square and Square Root Question 15 Detailed Solution
Download Solution PDFFormula used:
(a - b) (a + b) = a2 - b2
(a2 + 2ab + b2) = (a + b)2
Calculation:
Given that,
α = √[(5 + 3√2) (5 - 3√2)]
Since, (a - b) (a + b) = a2 - b2
α = √[(52 - (3√2)2]
α = √(25 - 18) = √7
Let the required square root is β
β = √(8 + 2√7) = √(7 + 1 + 2√7)
β = √[(√7)2 + 2.1.√7 + (1)2]
β = √(√7 + 1)2
Since, (a2 + 2ab + b2) = (a + b)2
β = √7 + 1