Solve the Square Root Equation: √98/√x = 7

Question

98x=7 \frac{\sqrt{98}}{\sqrt{x}}=7

Video Solution

Solution Steps

00:00 Find the value X
00:03 The square root of the number (A) divided by the square root of the number (B)
00:07 Is the same as the square root of the fraction (A divided by B)
00:10 We'll apply this formula to our exercise and proceed to convert to the root of a fraction
00:16 Square both sides in order to eliminate the fraction
00:26 Squaring cancels out the root
00:29 Calculate 7 squared
00:33 Isolate X
00:51 This is the solution

Step-by-Step Solution

To solve this problem, let's proceed with the following steps:

  • Step 1: Start with the given equation:
    98x=7\frac{\sqrt{98}}{\sqrt{x}} = 7.
  • Step 2: Apply the square root property to combine the fraction:
    98x=7\sqrt{\frac{98}{x}} = 7.
  • Step 3: Square both sides to eliminate the square root:
    98x=49\frac{98}{x} = 49.
  • Step 4: Solve for x x by multiplying both sides by x x :
    98=49x98 = 49x.
  • Step 5: Isolate x x by dividing both sides by 49:
    x=9849x = \frac{98}{49}.
  • Step 6: Simplify the fraction:
    x=9849=2x = \frac{98}{49} = 2.

Therefore, the solution to the problem is x=2 x = 2 .

Answer

2 2