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CBSE Class 10 Answered

Find the value of square root of 6 plus square root of 6 plus square root of 6 plus end root end root end root midline horizontal ellipsis
Asked by Gopinath | 17 Mar, 2017, 10:10: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight x equals space square root of 6 plus square root of 6 plus square root of 6 plus.... end root.... end root end root Squaring space both space sides rightwards double arrow straight x squared equals 6 plus square root of 6 plus square root of 6 plus.... end root.... end root rightwards double arrow straight x squared equals 6 plus straight x rightwards double arrow straight x squared minus straight x minus 6 equals 0 rightwards double arrow left parenthesis straight x minus 3 right parenthesis left parenthesis straight x plus 2 right parenthesis equals 0 rightwards double arrow straight x minus 3 equals 0 space or space straight x plus 2 equals 0 rightwards double arrow straight x equals 3 space or space straight x equals negative 2 rightwards double arrow square root of 6 plus square root of 6 plus square root of 6 plus.... end root.... end root end root equals 3 space or space square root of 6 plus square root of 6 plus square root of 6 plus.... end root.... end root end root equals negative 2 But space straight x space can space only space be space straight a space positve space real space number comma space since space we space cannot space take space root space of space straight a space negative space number in space real space numbers. Hence comma space straight x equals 3 rightwards double arrow square root of 6 plus square root of 6 plus square root of 6 plus.... end root.... end root end root equals 3 end style
Answered by Rebecca Fernandes | 17 Mar, 2017, 10:42: PM

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