Square root of 38416 with steps

196

Step-by-step

Step 1: the last number of 38,416 is 6. 6 is not a perfect square.

Step 2: because 6 is not a perfect square, split the number up and add each digit together:

3 + 8 + 4 + 1 + 6 = 22

2 + 2 = 4

Step 3:

the digital root of 38,416 is 4.

4 is in the list of digital roots that are always perfect squares. We can conclude that 38,416 could be a perfect square!

Step 4:  find all the factors:

1 x 38,416    2 x 19,208    4 x 9,604    7 x 5,488   8 x 4,802    14 x 2,744            16 x 2,401    28 x 1,372    49 x 784     56 x 686    98 x 392     112 x 343            196 x 196

Underlined above is the factor combination that makes 38,416 a perfect square.  A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

answer: 4/6 =5/7.5

step-by-step explanation: it is based on scale and the scale between the two is 1.25. the answer is correct but i dont know if i explained it right