When 3square root of 5= square root of a, find the value of a.
To find the value of "a" when 3 times the square root of 5 is equal to the square root of "a," we need to solve the equation and isolate "a" on one side of the equation.
Let's start by writing the equation:
3 √5 = √a
To solve for "a," we need to eliminate the square root on the right side of the equation. To do this, we square both sides of the equation:
(3 √5)² = (√a)²
Squaring both sides gives us:
(3 √5)² = a
Now, let's simplify the left side of the equation:
(3 √5)² = 3² * (√5)² = 9 * 5 = 45
So the value of "a" is 45.