Q.1. Evaluate: √1.69
Ans. Using long division method:
∴ √1.69=1.3
Q.2. Evaluate: √33.64
Ans. Using long division method:
∴ √33.64=5.8
Q.3. Evaluate: √156.25
Ans. Using long division method:
∴ √156.25 = 12.5
Q.4. Evaluate: √75.69
Ans. Using long division method:
∴ √75.69=8.7
Q.5. Evaluate: √9.8596
Ans. Using long division method:
∴ √9.8596 = 3.14
Q.6. Evaluate: √10.0489
Ans. Using long division method:
∴ √10.0489=3.17
Q.7. Evaluate: √1.0816
Ans. Using long division method:
∴ √1.0816 = 1.04
Q.8. Evaluate: √0.2916
Ans. Using long division method:
∴ √0.2916 = 0.54
Q.9. Evaluate √3 up to two places of decimal.
Ans. Using long division method:
√3 = 1.732
⇒ √3 = 1.73 (correct up to two decimal places)
Q.10. Evaluate √2.8 correct up to two places of decimal.
Ans. Using long division method:
∴ √2.8=1.673
⇒ √2.8 =1.67 (correct up to two decimal places)
Q.11. Evaluate √0.9 correct up to two places of decimal.
Ans. Using long division method:
∴ √0.9 = 0.948
⇒ √0.9 =0.95 ( correct up to two decimal places)
Q.12. Find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres.
Ans. Area of the rectangle =(13.6 × 3.4) = 46.24 sq m
Thus, area of the square is 46.24 sq m.
Length of each side of the square = √46.24 m
Using long division method:
√46.24 = 6.8
Thus, the length of a side of the square is 6.8 metres.
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