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Sum of two squares is 145. If square root of one number is 3, find the other number?
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Sum of two squares is 145. If square root of one number is 3, find the...
Sum of Two Squares Problem
Given that the sum of two squares is 145 and one of the numbers has a square root of 3, we can find the other number using algebraic manipulation.
Let's solve step by step:
1. Let the two numbers be \(x\) and \(y\). We are given that \(x^2 + y^2 = 145\).
2. We are also given that \(\sqrt{x} = 3\). This implies that \(x = 3^2 = 9\).
3. Substitute the value of \(x\) into the first equation: \(9 + y^2 = 145\).
4. Rearrange the equation to solve for \(y^2\): \(y^2 = 145 - 9 = 136\).
5. Take the square root of both sides to find \(y\): \(y = \sqrt{136} = 2\sqrt{34}\).
Therefore, the other number is \(2\sqrt{34}\).
By following these steps, we were able to find the other number in the sum of two squares problem.
Given that the sum of two squares is 145 and one of the numbers has a square root of 3, we can find the other number using algebraic manipulation.
Let's solve step by step:
1. Let the two numbers be \(x\) and \(y\). We are given that \(x^2 + y^2 = 145\).
2. We are also given that \(\sqrt{x} = 3\). This implies that \(x = 3^2 = 9\).
3. Substitute the value of \(x\) into the first equation: \(9 + y^2 = 145\).
4. Rearrange the equation to solve for \(y^2\): \(y^2 = 145 - 9 = 136\).
5. Take the square root of both sides to find \(y\): \(y = \sqrt{136} = 2\sqrt{34}\).
Therefore, the other number is \(2\sqrt{34}\).
By following these steps, we were able to find the other number in the sum of two squares problem.
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Sum of two squares is 145. If square root of one number is 3, find the other number?
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Sum of two squares is 145. If square root of one number is 3, find the other number? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Sum of two squares is 145. If square root of one number is 3, find the other number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of two squares is 145. If square root of one number is 3, find the other number?.
Sum of two squares is 145. If square root of one number is 3, find the other number? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Sum of two squares is 145. If square root of one number is 3, find the other number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of two squares is 145. If square root of one number is 3, find the other number?.
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