把二次根式化成最简二次根式√16/75

题目

把二次根式化成最简二次根式√16/75
√16/75
√17/18
√9/14

答案

√16/75
=√[(16/25)×1/3]
=√[(4/5)²×3/3²]
=4/5×1/3×√3
=(4√3)/15
√17/18
=√(34/36)
=√(34/6²)
=(√34)/6
√9/14
=√(3²×14/14²)
=(3×1/14)×√14
=(3√14)/14