What is the quotient of 147√ in simplest terms?

√147 = 7√3

Step-by-step explanation:

From the list of all factors of 147, find the square root of the biggest perfect square. 1, 3, 7, 21, 49, and 147 are the factors of 147. In addition, the greatest perfect square on this list is 49, and its square root is 7. As a result, A equals 7.

Take 147 and divide it by the biggest perfect square in the list of all 147 factors. From the list of all factors of 147, we found that the greatest perfect square is 49. Furthermore, because 147 divided by 49 is 3, B equals 3.

Now that we know A and B, we can calculate 147 in its simplest radical form as follows:

√147 = A√B

√147 = 7√3

umumumumum

im not sure

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9