What is the answer to 1/(2sqrt(c))= 1/3 ?

The answer to 1/(2sqrt(c))= 1/3 is c= 9/4

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1/(2sqrt(c))= 1/3

\frac{1}{2 c} = \frac{1}{3}

c = \frac{9}{4}

Decimal Notation

c = 2.25

Solution steps

\frac{1}{2 c} = \frac{1}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 3 = 2 c \cdot 1

Expand

2 c \cdot 1 : 2 c

1 \cdot 3 = 2 c

Switch sides

2 c = 1 \cdot 3

Multiply the numbers:

1 \cdot 3 = 3

2 c = 3

Divide both sides by

2

c = \frac{3}{2}

Square both sides:

c = \frac{9}{4}

c = \frac{9}{4}

Verify Solutions:

c = \frac{9}{4}

True

The solution is

c = \frac{9}{4}

3 x + 2 + 2 = 6 x

26 - 3 x = 5 x - 30

x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} = 0

2 m - 6 = 3 m - 14

x + 3 - 7 - x = 2 x - 8

What is the answer to 1/(2sqrt(c))= 1/3 ?
The answer to 1/(2sqrt(c))= 1/3 is c= 9/4
Solve for c: 1/(2sqrt(c))= 1/3
The solution is c= 9/4