Answer:
[tex] \sqrt{24} [/tex]
[tex] \sqrt{4 \times 6} [/tex]
[tex] = 2 \sqrt{6} [/tex]
[tex] \sqrt[3]{24m {}^{3} } [/tex]
[tex] \sqrt[3]{8 \times 3 \times m {}^{3} } [/tex]
[tex] = 2m \sqrt[3]{3} [/tex]
[tex] \sqrt{10x {}^{6} } [/tex]
[tex] \sqrt{10.x {}^{2}.x {}^{2}.x {}^{2} } [/tex]
[tex] = x {}^{3} \sqrt{10} [/tex]
[tex] \sqrt[4]{128x {}^{7}y {}^{7} } [/tex]
[tex] \sqrt[4]{16\times 8 \times x {}^{4} \times x {}^{3} \times y {}^{4} \times y {}^{3} } [/tex]
[tex] = 2xy \sqrt[4]{8x {}^{3}y {}^{3} } [/tex]
[tex] \frac{ \sqrt{49} }{ \sqrt{25} } [/tex]
[tex] = \frac{7}{5} [/tex]
[tex]3 \sqrt{12} [/tex]
[tex]3 \sqrt{4 \times 3} [/tex]
[tex]3(2) \sqrt{3} [/tex]
[tex] = 6 \sqrt{3} [/tex]
[tex] \sqrt[4]{405x {}^{3}y {}^{2} } [/tex]
[tex] \sqrt[4]{81 \times 5.x {}^{3}.y {}^{2} } [/tex]
[tex] = 3 \sqrt[4]{5x {}^{3}y {}^{2} } [/tex]
[tex] \sqrt[3]{ - 162} [/tex]
[tex] \sqrt[3]{27 ( - 6)} [/tex]
[tex] = 3 \sqrt[3]{ - 6} [/tex]
[tex] \frac{ \sqrt{2x} }{ \sqrt{7} } [/tex]
[tex] \frac{ \sqrt{2x} }{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } [/tex]
[tex] \frac{ \sqrt{14x} }{ \sqrt{49} } [/tex]
[tex] = \frac{ \sqrt{14x} }{7} [/tex]
[tex] \sqrt[3]{56x {}^{ {}^{5} } y} [/tex]
[tex] \sqrt[3]{8 \times 7 \times x {}^{3 } \times x {}^{2}y } [/tex]
[tex] = 2x \sqrt[3]{7x {}^{2}y } [/tex]
