Question

What is the following sum? 4(5 sqrt x^2y)+3(5 sqrt x^2y)

Answer 1

ANSWER


$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} ) = 35x\sqrt{y}$


EXPLANATION

The given expression is
$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} )$


We need to simplify the above expression first before, we add them.


Let us deal with the expressions within the parenthesis first,

$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} ) = 4(5 \sqrt{ {x}^{2}}\times \sqrt{y} ) + 3(5 \sqrt{ {x}^{2} } \times \sqrt{y} )$


This will simplify to,

$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} ) = 4(5 x\times \sqrt{y} ) + 3(5 x \times \sqrt{y} )$


We now multiply out the brackets to obtain,

$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} ) = 20 x\times \sqrt{y} + 15 x \times \sqrt{y} )$


This implies that,

$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} ) = 20 x\sqrt{y} + 15 x \sqrt{y} )$


This will give us,

$4(5 \sqrt{ {x}^{2}y } ) + 3(5 \sqrt{ {x}^{2} y} ) = 35x\sqrt{y}$

Answer 2

Answer:

7(5 sqrt x^2y) or C

Step-by-step explanation: