A square is the result of multiplying a number by itself, while square root is the number that, when multiplied by itself, gives the original number.
Question 1. What is the square of 6?
Solution:
Square of 6 is
62 = 6 × 6
= 36
Question 2. Calculate the square root of 64.
Solution:
Square root of 64 is
√64 = 8
Because, 8 × 8 = 64
Question 3. Find the square of 13.
Solution:
Square of 13 is
132 = 13 × 13
= 169
Question 4. What is the square of -5?
Solution:
Square of -5 is
(-5)2 = -5 × -5
= 25
Question 5. Find the value of √50.
Solution:
Prime factor of 50 is
50 = 5 × 5 × 2
Square root of 50 is √50 = 5√2
Question 6. Find the value of 272 using identity.
Solution:
272 = (30 - 3)2 = 302 - 2 × 30 × 3 + 32
= 900 - 180 + 9
= 909 - 180 = 729
Question 7. Calculate the square root of 121.
Solution:
Square root of 121 is
√121 = 11
Because, 11 × 11 = 121
Practice Questions
Q1. Find the square of 8.
Q2. What is the square root of 144?
Q3. Calculate the square of -9.
Q4. Determine the square root of 1.44.
Q5. If x2 = 361, find x.
Q6. Find the square of 20.
Q7. What is the square root of 64?
Q8. Calculate the square of 0.5.
Q9. Determine the square root of 0.36.
Q10. If z2 = 225, find z.
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