Questions: Solve the equation. 7 + √(4)m = 9 A. m=6 B. m=-13 C. m=16 D. m=1 / 2

Transcript text: Exam Lesson Name: Radicals and Com Exam number: 351152 RR Exam Guidelines Exam Instructions Question 10 of 20 : Select the best answer for the question. 10. Solve the equation. $7+\sqrt[4]{m}=9$ A. $m=6$ B. $m=-13$ C. $m=16$ D. $m=1 / 2$ Mark for review (Will be highlighted on the review page) <>

Solution

Solution Steps

To solve the equation $7 + \sqrt[4]{m} = 9$, we first isolate the radical term by subtracting 7 from both sides. Then, we raise both sides to the power of 4 to eliminate the fourth root and solve for $m$.

Step 1: Isolate the Radical

Starting with the equation: \[ 7 + \sqrt[4]{m} = 9 \] we isolate the radical by subtracting 7 from both sides: \[ \sqrt[4]{m} = 9 - 7 \] which simplifies to: \[ \sqrt[4]{m} = 2 \]

Step 2: Eliminate the Radical

Next, we eliminate the fourth root by raising both sides to the power of 4: \[ m = 2^4 \] Calculating $2^4$ gives: \[ m = 16 \]