Is root180 is a surd or not ,with reason?

Asked by screen1974 | 10th Jun, 2019, 10:30: AM

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 | 10th Jun, 2019, 11:54: AM