how do you write an expression showing x=the square root of 45^2 + 30^2
x = √45^2 + 30^2
x = 45 + 900
√( 45² + 30² )=
√ [ ( 15 ∙ 3 )² + ( 15 ∙ 2 )² ] =
√ ( 15² ∙ 3² + 15² ∙ 2² ) =
√ ( 15² ∙ 9 + 15² ∙ 4 ) =
√ [ ( 15² ∙ ( 9 + 4 ) ]=
√ ( 15² ∙ 13 ) =
√ 15² ∙ √ 13 =
15 √ 13
√( 45² + 30² )= 15 √ 13
To write an expression showing x as the square root of (45^2 + 30^2), you can follow these steps:
Step 1: Start with the expression inside the square root sign: (45^2 + 30^2).
Step 2: Calculate the values inside the parentheses: (45^2 = 2025) and (30^2 = 900).
Step 3: Add the results of Step 2: (2025 + 900 = 2925).
Step 4: Rewrite the expression with the result of Step 3 inside the square root sign: √2925.
Step 5: Finally, assign x to the entire expression: x = √2925.
Therefore, the expression showing x as the square root of (45^2 + 30^2) is x = √2925.