The difference between the square roots of a number is 30. What is the number?

asked Nov 28, 2018 79.2k views

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If x is the number,

√(x) -(- √(x) )=30

(The difference or distance between two numbers is the larger one minus the smaller one.)

$2 √(x) =30 \\ √(x) =15 \\ (\sqrt(x))^2=15^2 \\ x=225$

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