Question

Match each expression in the top row with an equivalent expression in the bottom row.

Answer 1

Answer:

Step-by-step explanation:

Let's say :

|1|2|3|4|

|a|b|c|d|

so it would be:

1.b) 2.d) 3.c) 4.a)

Answer 2

$2\sqrt{3x^{2} y}$ = $x\sqrt{12y}$,  $2x\sqrt{6xy^{2} }$ =  $y\sqrt{24x^{3} }$,  $2y\sqrt{2x^{4} }$ =  $x^{2} \sqrt{8y^{2} }$,  $3x^{2} \sqrt{2y^{4} }$ =  $xy\sqrt{18x^{2} y^{2} }$

What is an expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given expression

(i) $2\sqrt{3x^{2} y}$

= $2x\sqrt{3y}$

= $x\sqrt{12y}$

(ii) $2x\sqrt{6xy^{2} }$

=  $2xy\sqrt{6x}$

= $y\sqrt{24x^{3} }$

(iii) $2y\sqrt{2x^{4} }$

= $2x^{2} y\sqrt{2}$

= $x^{2} \sqrt{8y^{2} }$

(iv) $3x^{2} \sqrt{2y^{4} }$

= $3x^{2}y^{2} \sqrt{2}$

= $xy\sqrt{18x^{2} y^{2} }$

Hence, $2\sqrt{3x^{2} y}$ = $x\sqrt{12y}$,  $2x\sqrt{6xy^{2} }$ =  $y\sqrt{24x^{3} }$,  $2y\sqrt{2x^{4} }$ =  $x^{2} \sqrt{8y^{2} }$,  $3x^{2} \sqrt{2y^{4} }$ =  $xy\sqrt{18x^{2} y^{2} }$

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