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How can you determine The largest three digit perfect square? - Answers

Find the square root of 999;Remove the fractional (decimal) part to leave a whole number; andSquare it.A perfect square number is made by squaring an integer. The largest three digit perfect square number will be a little bit greater than 302 = 900. So it will be (3A)2. Using the formula for the square of a binomial, a2 + 2ab + b2, A = 1. Thus, (30 +1)2 = 302 + 2(30)(1) + 12 = 961 is the largest perfect square number.Check 32:322 = (30 + 2)2 = 900 + 2(30)(2) + 22 = 900 + 120 + 4 = 1024 (4-digits)You can work faster like this:312 = 3212; 901 + 2(3)(1)(10) = 961322 = 3222; 904 + 2(3)(2)(10) = 1024562 = 5262; 2536 + 600 = 3136



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How can you determine The largest three digit perfect square? - Answers

https://math.answers.com/math-and-arithmetic/How_can_you_determine_The_largest_three_digit_perfect_square

Find the square root of 999;Remove the fractional (decimal) part to leave a whole number; andSquare it.A perfect square number is made by squaring an integer. The largest three digit perfect square number will be a little bit greater than 302 = 900. So it will be (3A)2. Using the formula for the square of a binomial, a2 + 2ab + b2, A = 1. Thus, (30 +1)2 = 302 + 2(30)(1) + 12 = 961 is the largest perfect square number.Check 32:322 = (30 + 2)2 = 900 + 2(30)(2) + 22 = 900 + 120 + 4 = 1024 (4-digits)You can work faster like this:312 = 3212; 901 + 2(3)(1)(10) = 961322 = 3222; 904 + 2(3)(2)(10) = 1024562 = 5262; 2536 + 600 = 3136



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https://math.answers.com/math-and-arithmetic/How_can_you_determine_The_largest_three_digit_perfect_square

How can you determine The largest three digit perfect square? - Answers

Find the square root of 999;Remove the fractional (decimal) part to leave a whole number; andSquare it.A perfect square number is made by squaring an integer. The largest three digit perfect square number will be a little bit greater than 302 = 900. So it will be (3A)2. Using the formula for the square of a binomial, a2 + 2ab + b2, A = 1. Thus, (30 +1)2 = 302 + 2(30)(1) + 12 = 961 is the largest perfect square number.Check 32:322 = (30 + 2)2 = 900 + 2(30)(2) + 22 = 900 + 120 + 4 = 1024 (4-digits)You can work faster like this:312 = 3212; 901 + 2(3)(1)(10) = 961322 = 3222; 904 + 2(3)(2)(10) = 1024562 = 5262; 2536 + 600 = 3136

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      Find the square root of 999;Remove the fractional (decimal) part to leave a whole number; andSquare it.A perfect square number is made by squaring an integer. The largest three digit perfect square number will be a little bit greater than 302 = 900. So it will be (3A)2. Using the formula for the square of a binomial, a2 + 2ab + b2, A = 1. Thus, (30 +1)2 = 302 + 2(30)(1) + 12 = 961 is the largest perfect square number.Check 32:322 = (30 + 2)2 = 900 + 2(30)(2) + 22 = 900 + 120 + 4 = 1024 (4-digits)You can work faster like this:312 = 3212; 901 + 2(3)(1)(10) = 961322 = 3222; 904 + 2(3)(2)(10) = 1024562 = 5262; 2536 + 600 = 3136

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