Find the fourth root of 89-28√10

1.	Find the fourth root of 89-28√10
Answer» (√5-√2) Step-by-step explanation: 89-28√10 89-2x19√10 89-2x√19²x√16 89-2x√1960 89 - 28sqrt(10); 8Y - 2 * 19 * sqrt(10); 89 - 2sqrt(19 ^ 2) * sqrt(10); 8g - 2sqrt(1960); 99+90-2* sqrt 99* sqrt 90; ( sqrt 49 - sqrt 70 ). ²( 7- sqrt 90 )^ 2; (7 - 2sqrt(10)) ^ 2; (2 + 5 - 2sqrt(2) * sqrt(5)) ^ 2; (sqrt(2) - sqrt(5)); =2( sqrt 5- sqrt 2 )^ 4 or (sqrt(5) - sqrt(2)) ^ (2 * 2)

Answer»

(√5-√2)

Step-by-step explanation:

89-28√10

89-2x19√10

89-2x√19²x√16

89-2x√1960

89 - 28sqrt(10); 8Y - 2 * 19 * sqrt(10); 89 - 2sqrt(19 ^ 2) * sqrt(10); 8g - 2sqrt(1960); 99+90-2* sqrt 99* sqrt 90; ( sqrt 49 - sqrt 70 ). ²( 7- sqrt 90 )^ 2; (7 - 2sqrt(10)) ^ 2; (2 + 5 - 2sqrt(2) * sqrt(5)) ^ 2; (sqrt(2) - sqrt(5)); =2( sqrt 5- sqrt 2 )^ 4 or (sqrt(5) - sqrt(2)) ^ (2 * 2)

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Find the fourth root of 89-28√10

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