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SSC (English Medium) ८ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics

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Mathematics
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Write in the form 'nth root of a' in the following number.

`(81)^(1/4)`

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Write the following number in the form of a rational indices.

Square root of 5th power of 121

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

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Write the following number in the form of rational indices.

Cube of 4th root of 324

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Write the following number in the form of rational indices.

5th root of square of 264

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Write the following number in the form of rational indices.

 Cube of cube root of 3

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75°.

[8] Quadrilateral : Constructions and Types
Chapter: [8] Quadrilateral : Constructions and Types
Concept: undefined >> undefined

Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.

[8] Quadrilateral : Constructions and Types
Chapter: [8] Quadrilateral : Constructions and Types
Concept: undefined >> undefined

Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.

[8] Quadrilateral : Constructions and Types
Chapter: [8] Quadrilateral : Constructions and Types
Concept: undefined >> undefined

Complete the following table.

Sr. No. Number Power of the root Root of the power
(1) `(225)^(3/2)` Cube of square root of 225 Square root of cube of 225
(2) `(45)^(4/5)`    
(3) `(81)^(6/7)`    
(4) `(100)^(4/10)`    
(5) `(21)^(3/7)`    
[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

If `root(3)(729)` = 9 then `root(3)(0.000729) = ?`

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Simplify:

`root(3)(27/125)`

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Simplify:

`root(3)(16/54)`

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Find the cube root of the following number.

8000

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Find the cube root of the following number.

729

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Find the cube root of the following number.

343

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Find the cube root of the following number.

−512

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Find the cube root of the following number.

−2744 

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Find the cube root of the following number.

32768 

[3] Indices and Cube Root
Chapter: [3] Indices and Cube Root
Concept: undefined >> undefined

Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110°, m∠R = 70°. If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

[8] Quadrilateral : Constructions and Types
Chapter: [8] Quadrilateral : Constructions and Types
Concept: undefined >> undefined

Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm

[8] Quadrilateral : Constructions and Types
Chapter: [8] Quadrilateral : Constructions and Types
Concept: undefined >> undefined
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