Question

select the correct answer.

what is the value of this expression when (c = 25) and (d = 14)?

\\\sqrt3{2c + d} - d\\

• 50
• 7
• -6
• -10

Explanation:

⚡ Using what you learned: Evaluating Expressions

Step 1: Substitute the values

Substitute \( c = 25 \) and \( d = 14 \) into the expression \( \sqrt[3]{2c + d} - d \):

$$ \sqrt[3]{2(25) + 14} - 14 $$

Step 2: Simplify inside the radical

Multiply and add the terms under the cube root:

$$ 2(25) + 14 = 50 + 14 = 64 $$

This simplifies the expression to:

$$ \sqrt[3]{64} - 14 $$

Step 3: Evaluate the cube root and subtract

Find the cube root of \( 64 \) and subtract \( 14 \):

$$ \sqrt[3]{64} = 4 $$

$$ 4 - 14 = -10 $$

Answer:

-10