1 A 1 B 2 A 2 B 2 C 2 D 3 4 A 4 B 4 C 4 D 5 6 A 6 B 6 C 6 D 7 A1 7 A2 7 A3 7 A4 7 B 8 9 10 A1 10 A2 10 A3 10 A4 10 A5 10 B 10 C 11 A 11 B 11 C 11 D 11 E

West Bengal Board - Mathematics

9. Quadratic Surd

1. Quadratic Equations in One Variable
2. Simple Interest
3. Theorems Related to Circle
4. Rectangular Parallelopiped or Cuboid
5. Ratio and Proportion
6. Compound Interest and Uniform Rate of Increase or Decrease
7. Theorems Related to Angles in a Circle
8. Right Circular Cylinder
9. Quadratic Surd
10. Theorems Related to Cyclic Quadrilateral
11. Construction: Construction of Circumcircle and Incircle of a Triangle
12. Sphere
13. Variation
14. Partnership Business
15. Theorems Related to Tangent to a Circle
16. Right Circular Cone
17. Construction: Construction of Tangent to a Circle
18. Similarity
19. Real Life Problems Related to Different Solid Objects
20. Trigonometry: Concept of Measurement of Angle
21. Construction: Determination of Mean Proportional
22. Pythagoras Theorem
23. Trigonometric Ratios and Trigonometric Identities
24. Trigonometric Ratios of Complementary Angle
25. Application of Trigonometric Ratios: Heights and Distances
26. Statistics: Mean, Median, Ogive, Mode

Let us Work Out 9.1

1 A 1 B 1 C 1 D 1 E 2 3 4 5 6 A 6 B 6 C 6 D 6 E 6 F

Let us Work Out 9.2

1 A 1 B 1 C 1 D 1 E 2 A 2 B 2 C 2 D 2 E 2 F 2 G 3 A 3 B 3 C 3 D 3 E 3 F 4 5 6 A 6 B 6 C 6 D 6 E 6 F 7 A 7 B 7 C 8 A 8 B

Let us Work Out 9.3

1 A 1 B 2 A 2 B 2 C 2 D 3 4 A 4 B 4 C 4 D 5 6 A 6 B 6 C 6 D 7 A1 7 A2 7 A3 7 A4 7 B 8 9 10 A1 10 A2 10 A3 10 A4 10 A5 10 B 10 C 11 A 11 B 11 C 11 D 11 E

Q. 94.4( 12 Votes )

Let us write whic

Class 10th West Bengal Board - Mathematics 9. Quadratic Surd

Answer :

Formula used.

(a – b)² = a² – 2ab + b²

1^st value is √7 + 1

Its square is

(√7 + 1)² = (√7)² + 1² + 2 × 1 × √7 = 7 + 1 + 2√7 = 8 + 2√7

2^nd value is √5 + √3

Its square is

(√5 + √3)² = (√5)² + (√3)² + 2 × √3 × √5 = 5 + 3 + 2√15 = 8 + 2√15

If 7<15

Then √7 < √15

Then 8 + √7 < 8 + √15

Then √(8 + √7) < √(8 + √15)

∴ √7 + 1 < √5 + √3

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSIf <span lang="EN NEXTIf <span lang="EN

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

caricature

view all courses

RELATED QUESTIONS :

In each of the foWest Bengal Board - Mathematics

If <span lang="ENWest Bengal Board - Mathematics

If we subtract <sWest Bengal Board - Mathematics

Let us write a raWest Bengal Board - Mathematics

Let us rationalizWest Bengal Board - Mathematics

Let us write the West Bengal Board - Mathematics

Let us write whetWest Bengal Board - Mathematics

Let us fill up thWest Bengal Board - Mathematics

Let us divide firWest Bengal Board - Mathematics

If <span lang="ENWest Bengal Board - Mathematics