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ICSE Class 9 Answered

Is root180 is a surd or not ,with reason?
Asked by screen1974 | 10 Jun, 2019, 10:30: AM
answered-by-expert Expert Answer
begin mathsize 16px style square root of 180 space equals space square root of 2 space cross times space 2 space cross times 3 space cross times space 3 space cross times space 5 end root space equals 2 cross times 3 square root of 5 space equals space 6 square root of 5 6 space is space straight a space rational space number space and space square root of 5 space is space an space irrational space number. We space know space that comma The space product space of space space straight a space non minus zero space rational space number space and space an space irrational space number space is space irrational. rightwards double arrow 6 square root of 5 space is space an space irrational space number. When space we space can apostrophe straight t space simplify space straight a space number space to space remove space straight a space square space root space or space cube space root space etc space then space it space is space straight a space surd. space rightwards double arrow 6 square root of 5 space is space straight a space Surd. end style
Answered by Yasmeen Khan | 10 Jun, 2019, 11:54: AM

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