Question

find a number whose square is equal to the sum of the squares of the numbers 4683 and 4460 ​

Answer 1

Step-by-step explanation:

4683² = 21930489

4460² = 19891600

their sum = 41822089

√41822089 = 6467

Answer 2

The required number = 6467

Given :

The sum of the squares of the numbers 4683 and 4460

To find :

The number whose square is equal to the sum of the squares of the numbers 4683 and 4460

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number is x

By the given condition

$\displaystyle \sf {x}^{2} = {(4683)}^{2} + {(4460)}^{2}$

Step 2 of 2 :

Find the number

$\displaystyle \sf{ {x}^{2} = {(4683)}^{2} + {(4460)}^{2} }$

$\displaystyle \sf{ \implies } {x}^{2} = 21930489 + 19891600$

$\displaystyle \sf{ \implies } {x}^{2} = 41822089$

$\displaystyle \sf{ \implies } {x}^{2} = {(6467)}^{2}$

$\displaystyle \sf{ \implies }x = 6467$

Hence the required number is 6467

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