A TV on ebay is described to be 35.7 inches wide and 20.1 inches high. To the nearest whole number how many inches is it's diagonal?
(Enter your answer without units.)

41 in.

Step-by-step explanation:

You have to use the Pythagorean Theorem.  You have the values for the two sides (length and width).  Now, you need to solve for the hypotenuse (diagonal).

a² + b² = c²

(35.7)² + (20.1)² = c²

1274.49 + 404.01 = c²

1678.5 = c²

√1678.5 = c

c = 40.97

c ≈ 41

The diagonal length is 41 in., to the nearest whole number.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: