What is the value of j in the equation √ j √ j 14 = 3√ j 10?
The answer is 16.
The equation is:
√j + √j + 14 = 3√j + 10
2√j + 14 = 3√j + 10
14 - 10 = 3√j - 2√1
4 = √j
Now, we will square both sides of the equation:
4² = (√j)²
16 = j.
Therefore, j is 16.
Answer:
the value of j in the given expression is: 16
Step-by-step explanation:
we are given the expression as:
\(\sqrt{j}+\sqrt{j}+14=3\sqrt{j}+10\)
\(2\sqrt{j}+14=3\sqrt{j}+10\\ \\3\sqrt{j}-2\sqrt{j}=14-10\\\\\sqrt{j}=4\)
so on squaring both side we have \(j=16\).
Hence the value of j is 16.