A number when multiplied by five times of itself give the value equal to 1445. What is the number?

Required length = 120/3 = 40 m

Given, 0.764 x P = 1.236 x Q
? Q / P = 1.236 / 0.764
Now, (Q - P) / (Q + P) = [(Q/P) - 1] / [(Q/P) + 1]
? [(1.236/0.764) - 1] / [(1.236/0.764) + 1]
= (1.236 - 0.764) / (1.236 + 0.764)
= 0.472 / 2.000
= 0.236

?289 - ?625 ÷ ?25
= ?17 x 17 - ?25 x 25 ÷ ?5 x 5
= 17 - 25 ÷ 5 = 17 - 5 = 12

(?)² ?13² + 28 ÷ 4 - (3)³ + 107
= ?169 + 7 - 27 + 107
= ?256 = 16
? ? = ?16
= 4

(4 x 4 x 4 x 4 x 4 x 4)⁵ x (4 x 4 x 4)⁸ ÷ (4)³ = (64)^?
? (4⁶)⁵ x (4³)⁸ x 1/(4)³ = (4³)^?
? (4)³⁰ x (4)²⁴/(4)³ = (4)^{3 x ?}
? 4^{30 + 24 - 3} = 4^{3 x ?}
? 4⁵¹ = 4^{3 x ?} ? 3 x ? = 51
? ? = 51/3 = 17

Required length = 80/4 = 20 inches

Since a * b = a + b + a/b
? 12 * 4 = 12 + 4 + 12/4
= 12 + 4 + 3 = 19

Given exp. = [ a² + ab + b² ] / [a³ - b³] where a = 137, b = 133
= 1/(a - b)
= 1/(137- 133)
=1/4

Given expression = (a³ - b³) / (a² + ab + b²), where a=117, b =98
= [(a-b)(a² + ab + b²)] / (a²+ab+b²)
=(a-b)
=117 - 98
= 19.

Given Exp. = ( a³ + b³ ) / ( a² - ab + b² ), where a =3 42, b = 257
= [(a + b )(a² - ab +b²)] / (a² - ab + b²)
= a + b
= 343+257
= 600.