Of course! Let's solve the given equation step-by-step:
Given:
[tex]\[ 5 = \frac{\sqrt{2 \times h}}{10} \][/tex]
### Step 1: Eliminate the Fraction
To get rid of the fraction, we need to multiply both sides of the equation by 10:
[tex]\[ 5 \times 10 = \sqrt{2 \times h} \][/tex]
[tex]\[ 50 = \sqrt{2 \times h} \][/tex]
### Step 2: Eliminate the Square Root
To eliminate the square root, we will square both sides of the equation:
[tex]\[ (50)^2 = (\sqrt{2 \times h})^2 \][/tex]
[tex]\[ 2500 = 2 \times h \][/tex]
### Step 3: Isolate the Variable
Now, we need to isolate [tex]\( h \)[/tex]. To do this, divide both sides by 2:
[tex]\[ h = \frac{2500}{2} \][/tex]
[tex]\[ h = 1250 \][/tex]
So, the value of [tex]\( h \)[/tex] is:
[tex]\[ h = 1250 \][/tex]
