Question

Is the number (3^7)(5^11)(15^5) is perfect square?

Answer 1

Answer:

it is a perfect square

Step-by-step explanation:

${3}^{7} \times {5}^{11} \times {15}^{5} \\ {3}^{7} \times {5}^{11} \times {3}^{5} \times {5}^{5} \\ {3}^{7 + 5} \times {5}^{11 + 5} \\ {3}^{12} \times {5}^{16} \\ \sqrt{ {3}^{12} \times {5}^{16} } = {3}^{6} \times {5}^{8}$