Given that #16 xx 36=576#, then find #sqrt(576)# without a calculator using properties of perfect squares?
1 Answer
Sep 23, 2017
Explanation:
Given:
# 16 xx 36 = 576 #
Then we can manipulate the LHS, noting that both
# 16 xx 36 = 576 #
# :. 4 xx 4 xx 6 xx 6 = 576 #
# :. (4 xx 6) xx (4 xx 6) = 576 #
# :. (4 xx 6)^2 = 576 #
# :. (24)^2 = 576 #
Hence:
# sqrt(576) = 24 #