Question

find the square root of the following numbers by using the prime factorization method 104976​

Answer 1

2 | 104976

2 | 52488

2 | 26244

2 | 13122

3 | 6561

3 | 2187

3 | 729

3 | 243

3 | 81

3 | 27

3 | 9

3 | 3

| 1

make complete pair of 2 and 3

2×2×3×3×3×3 = 324

Answer 2

Answer:

Given sin(A+B)=1

⇒sin(A+B)=sin90

o

(∵sin90

o

=1)

⇒A+B=90

o

…………(1)

Again, cos(A−B)=

3

/2

⇒cos(A−B)=cos30

o

(∵cos30

o

=

3

/2)

⇒A−B=30

o

…………(2)

Adding (1)+(2)

A+B+A−B=90

o

+30

o

⇒2A=120

o

⇒A=120/2

⇒A=60

o

Putting A=60

o

in equation-(2) we get

A−B=30

o

⇒60

o

−B=30

o

⇒60

o

−30

o

=B

⇒B=30

∴A=60

;B=30