Question

Please this urgent!!​

Answer 1

I knew only this much

hope it's helpful

:)

Answer 2

Explanation:

1)First convert mixed fraction to improper fraction and them prime factorize

`6(1)/(4) = (25)/(4)\\`

`\sqrt{(25)/(4)}= \sqrt{(5*5)/(2*2)}= (5)/(2) = 2 (1)/(2) \\\\`

2)

`(2 (1)/(2)- 1 (1)/(2))*1 (1)/(7)=( (5)/(2)- (3)/(2))* (8)/(7)\\\\\\= (2)/(2)* (8)/(7)\\\\=1* (8)/(7)= (8)/(7)\\\\\\=1 (1)/(7)`

3) 0.00706 = 7.06 *
`10^(-3)`

4) 144 = 12 * 12

12 = 6*2

6 = 2*3

Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2

= 2⁴ * 3²

5) To find LCM, prime factorize 96 & 144

96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3

144 = 2⁴ * 3²

LCM = 2⁵ * 3² = 32 * 9 = 288

6) HCF

105 = 7 * 5 * 3

135 = 5 * 3* 3 * 3

180 = 5 * 3 * 3 * 2 * 2

HCF = 5 * 3 = 15

7) 24 = 3 * 2 * 2 * 2 = 3 * 2³

36 = 3 * 3 * 2 * 2 = 3² * 2²

40 = 5 * 2 * 2 * 2 = 5 * 2³

LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360

HCF = 2² = 4

Difference = 360 - 4 = 356

8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all

1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15

Ans: 15

9) 36₇ = 102₅

10) 6.9163 = 6.916