find the value of x and y. state your solution in simplest radical form where $x = a\sqrt{b}$ and $y = c\sqrt{d}$, where a and c are coefficients and b and d are radicands. use na when necessary.

$a = $
$b = $
$c = $
$d = $

Question

find the value of x and y. state your solution in simplest radical form where $x = a\sqrt{b}$ and $y = c\sqrt{d}$, where a and c are coefficients and b and d are radicands. use na when necessary.

$a = $
$b = $
$c = $
$d = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Special Right Triangles" ], "new_concepts": [], "current_concepts": [ "Special Right Triangles", "Radical Simplification" ] } ## Find the value of x $$ \begin{aligned} &x = 6\sqrt{2} \end{aligned} $$ ## Find the value of y $$ \begin{aligned} &y = (6\sqrt{2}) \cdot \sqrt{2} = 6 \cdot 2 = 12 \end{aligned} $$ ## Determine the coefficients and radicands $$ \begin{aligned} &x = a\sqrt{b} \implies 6\sqrt{2} \implies a = 6,\ b = 2\ &y = c\sqrt{d} \implies 12 \implies 12\sqrt{1} \implies c = 12,\ d = 1 \end{aligned} $$ Find the value of x and y. State your solution in simplest radical form where $x = a\sqrt{b}$ and $y = c\sqrt{d}$, where a and c are coefficients and b and d are radicands. Use NA when necessary. $a =$ 6 $b =$ 2 $c =$ 12 $d =$ 1 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Special Right Triangles" ] }

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Explanation:

Find the value of x

Find the value of y

Determine the coefficients and radicands

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