Question

√2x³. √10x

Help please

Answer 1

You can write as $2 \sqrt{5} {x}^{2}$ or $\boxed{2 {x}^{2} \sqrt{5}}$

Step-by-step explanation:

Find product of the groups,

$\sqrt{2 {x}^{3} \: . \: 10x}$

Regrouping,

$\sqrt{2{x}^{3 + 1} \: . \: 10 }$

Multiplying,

$\sqrt{20 {x}^{3 + 1} }$

Add constants,

$\sqrt{20 {x}^{4} }$

Rewrite 20 as 4 • 5,

$\sqrt{4 \: . \: 5 {x}^{4} }$

Rewrite 4 as 2² ,

$\sqrt{ {2}^{2} \: . \: 5 {x}^{4} }$

Using radical rules,

$\sqrt{ {2}^{2} } \sqrt{x} \sqrt{5}$

Reduce root and power,

→ $\underline {2 {x}^{2} \sqrt{5}}$