Question

14400 square root by factoratoin method

Answer 1

14400=2*2*3*2*2*3*5*5*2*2

Therefore taking 2's 3's and 5's out in pairs we get:-

√14400=2*3*2*5*2

            =12*10

            =120

Answer 2

Step-by-step explanation:

14400= 144×100

= 16×9 ×100

= 4²×3²×10²

$\sqrt{14400} = \sqrt{ {4}^{2} \times {3}^{2} \times {10}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \times 3 \times 10 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 120$

Your Answer :- 120