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EXPONENTS a a 5 so Estimating Square Roots A number is called a if its...

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Algebra

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EXPONENTS a a 5 so Estimating Square Roots A number is called a if its square root is an integer For example 25 and 36 are both perfect squares since 25 52 and 36 6 so 25 5 and 36 6 If we don t know the square root of some number x and don t have a calculator handy we can estimate the square root by bracketing it betweer two perfect squares for which we do know the square roots For example to estimate IO we know and 10 10 8 is between 2 Estimate the following square 23 Therefore 10 lies somewhere between and closer to 9 than to 16 According to a calculator 10 and 642 roots where and are perfect squares probably closer to because 10 is 95 is between and

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