Question

Find the value of the variable that makes the equation true.

√c • √c = 11

C=?

Answer 1

c = 11

Explanation:

We are given the equation of:

`\displaystyle{√(c) \cdot √(c) = 11}`

The property of square root where same square roots multiply each other:

`\displaystyle{√(a) \cdot √(a) = \left(√(a)\right)^2 = a}`

Hence:

`\displaystyle{√(c) \cdot √(c) = 11}\\\\\displaystyle{\left(√(c)\right)^2 = 11}\\\\\displaystyle{c= 11}`

Therefore, the value of c is 11.