Math, asked by Mafiaqueen123, 3 days ago

please answer the questions given.. Don't say you don't know or something like that..if you don't know then don't answer... ​

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Answered by karmaan958
0

Step-by-step explanation:

1. Prime factorisation of 125×n

= 5×5×5×n

Pairing = (5×5) (5×n)

Hence, n = 5 for perfect square.

2. -3/2 - (-5/8)

= -3/2 + 5/8

= -12/8 + 5/8

= -7/8

3. The Value of [((6² + 8²)½)]³

= [(36 + 64)½]³

= [(100)½]³

= [(10)²×½]³

= [10]³

= 1000

4. Reciprocal of 0×7/11

= Reciprocal of 0

or

Reciprocal of 0/1

= 1/0

which is not defined.

5. (8-¹ - 9-¹) ÷ (4-¹ - 9-¹)

= (1/8 - 1/9) ÷ (1/4 - 1/9)

= (9/72 - 8/72) ÷ (9/36 - 4/36)

= 1/72 ÷ 5/36

= 1/72 × 36/5

= 1/10

6.

116 soldiers

7.

a(b - c) = ab - ac

= 1.6(-1/2 - 5/7) = 1.6×-1/2 - 1.6×5/7

= 1.6(-7/14 - 10/14) = -16/20 - 8/7

= 1.6(-17/14) = -4/5 - 8/7

= -68/35 = -28/35 - 40/35

= -68/35 = -68/35

L.H.S = R.H.S

Hence, Proved

8. 7×√7×7²×7⁵/² = 7³+a

= 7×√7×7²×√7²×⁵/² = 7³+a

= 7×√7×7²×√7⁵ = 7³+a

= 7×7²×√7⁶ = 7³+a

= 7×7²×7³ = 7³+a

= 7⁶ = 7³+a

= 6 = 3+a

a = 6-3

a = 3

9. √71-√44+√28-3

= √71-√44+√25

= √71-√44+5

= √71-√49

= √71-7

= √64

= 8

b) (√0.0625 + √0.0144)/(√6.25 - √1.44)

= (√625/10000 + √144/10000)/(√625/100 - √144/100)

= (25/100 + 12/100)/(25/10 + 12/10)

= (37/100)/(37/10)

= 1/10 or 0.1

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