Answer:
The given Expression is
[tex]4\sqrt{16x^4y^12[/tex]
= 4 × terms under square root are non negative.so we can break it into different terms.
= 4 × √16 ×[tex]\sqrt{x^4}\times\sqrt {y^{12}}[/tex]
Breaking into factors
= 4 × [tex]\sqrt{2\times2\times\times2\times2 } \times\sqrt{x \times x \times x \times x } \times \sqrt{ y \times y \timesy \times y \timesy \times y \times y \times y \times y \times y \times y \times y \times y \times y[/tex]
= 4× [tex]2 \times2 \times x \times x \times y\times y\times y\times y\times y\times y[/tex]
= 16× [tex]x^{1+1}\times y^{1+1+1+1+1+1}[/tex]
= 16 [tex]x^2 y^6[/tex]
