Question

Simplify the radical √√189².
O 3√2d
O 20³√3
Od√180
3d+√2a

Answer 1

The first step is to simplify the double radical.

√√189² = √(189²) = √(189*189) = √(35281)

Now, we simplify the radical by finding the prime factorization of 35281:

35281 = 189² = (189)(189) = (363)(363) = (3²*63²)

So, we can simplify the radical as:

√35281 = √(3²63²) = 3√(63²) = 3√(6363) = 3√3969 = 3√(31323) = 3√(3²1323) = 3*63 = 189

Therefore, √√189² = √(189*189) = √35281 = 189

Explanation: