Square Root Of 8 Sqrt8 sqrt 4 2 sqrt4 sqrt2 2sqrt2 Algebra Properties of Real Numbers Square Roots and Irrational Numbers
color blue 2sqrt2 Here we prime factorise 8 in order to simplify the expression sqrt8 sqrt 2 2 2 sqrt 2 2 2 color blue 2sqrt2 Let x sqrt 8 tox inRR but x in CC Squaring both sides x 2 8 8 1 x 2 8i 2 to because i 2 1
Square Root Of 8
Square Root Of 8
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Sqrt 8 3 Note that 2 2 4 8 9 3 2 Hence the positive square root of 8 is somewhere between 2 and 3 Since 8 is much closer to 9 3 2 than 4 2 2 we can deduce that the closest integer to the square root is 3 We can use this proximity of the square root of 8 to 3 to derive an efficient method for finding approximations Consider a quadratic with zeros The square root of 8 which is 2 82842712474619 is not a rational number It is an irrational number A rational number is one that can be written
See a solution process below sqrt 8 can be rewritten as sqrt 4 2 1 We can use this rule for 2 sqrt2 To find the sqrt8 you must find the highest factors that can be squared in this casesqrt 4 2 the sqrt4 is 2 therefore the answer is 2sqrt2
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See examples including the square root of a fraction the square root of variables and square roots in the denominator Updated 11 21 2023 Table of Contents Sqrt2 4 Looking at the given expression sqrt 1 8 By sqrt a b sqrta sqrtb sqrt 1 8 sqrt1 sqrt8 Which is sqrt1 sqrt8 1 sqrt8 Simplify 1 sqrt8 1 sqrt 2 4 1 sqrt 2 4 1 2sqrt2 Rationalize the denominator 1 2sqrt2 sqrt2 sqrt2 sqrt2 4
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Sqrt8 sqrt 4 2 sqrt4 sqrt2 2sqrt2 Algebra Properties of Real Numbers Square Roots and Irrational Numbers
https://socratic.org/questions/how-do-you-simplify-square-root-of-8
color blue 2sqrt2 Here we prime factorise 8 in order to simplify the expression sqrt8 sqrt 2 2 2 sqrt 2 2 2 color blue 2sqrt2
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Square Root Of 8 - Sqrt 8 3 Note that 2 2 4 8 9 3 2 Hence the positive square root of 8 is somewhere between 2 and 3 Since 8 is much closer to 9 3 2 than 4 2 2 we can deduce that the closest integer to the square root is 3 We can use this proximity of the square root of 8 to 3 to derive an efficient method for finding approximations Consider a quadratic with zeros
