Find the Exact Value 3- square root of 49+(2(3+4^2))÷(1/2)

$3 - \sqrt{49} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Find the common denominator.

Write $3$ as a fraction with denominator $1$ .

$\frac{3}{1} - \sqrt{49} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Multiply $\frac{3}{1}$ by $\frac{\frac{1}{2}}{\frac{1}{2}}$ .

$\frac{3}{1} \cdot \frac{\frac{1}{2}}{\frac{1}{2}} - \sqrt{49} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Multiply $\frac{3}{1}$ by $\frac{\frac{1}{2}}{\frac{1}{2}}$ .

$\frac{3 (\frac{1}{2})}{\frac{1}{2}} - \sqrt{49} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Write $- \sqrt{49}$ as a fraction with denominator $1$ .

$\frac{3 (\frac{1}{2})}{\frac{1}{2}} + \frac{- \sqrt{49}}{1} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Multiply $\frac{- \sqrt{49}}{1}$ by $\frac{\frac{1}{2}}{\frac{1}{2}}$ .

$\frac{3 (\frac{1}{2})}{\frac{1}{2}} + \frac{- \sqrt{49}}{1} \cdot \frac{\frac{1}{2}}{\frac{1}{2}} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Multiply $\frac{- \sqrt{49}}{1}$ by $\frac{\frac{1}{2}}{\frac{1}{2}}$ .

$\frac{3 (\frac{1}{2})}{\frac{1}{2}} + \frac{- \sqrt{49} \frac{1}{2}}{\frac{1}{2}} + 2 (3 + 4^{2}) \div \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{3 (\frac{1}{2}) - \sqrt{49} \frac{1}{2} + 2 (3 + 4^{2})}{\frac{1}{2}}$

Simplify each term.

Combine $3$ and $\frac{1}{2}$ .

$\frac{\frac{3}{2} - \sqrt{49} \frac{1}{2} + 2 (3 + 4^{2})}{\frac{1}{2}}$

Rewrite $49$ as $7^{2}$ .

$\frac{\frac{3}{2} - \sqrt{7^{2}} \frac{1}{2} + 2 (3 + 4^{2})}{\frac{1}{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{\frac{3}{2} - 1 \cdot 7 \frac{1}{2} + 2 (3 + 4^{2})}{\frac{1}{2}}$

Multiply $- 1$ by $7$ .

$\frac{\frac{3}{2} - 7 (\frac{1}{2}) + 2 (3 + 4^{2})}{\frac{1}{2}}$

Combine $- 7$ and $\frac{1}{2}$ .

$\frac{\frac{3}{2} + \frac{- 7}{2} + 2 (3 + 4^{2})}{\frac{1}{2}}$

Move the negative in front of the fraction.

$\frac{\frac{3}{2} - \frac{7}{2} + 2 (3 + 4^{2})}{\frac{1}{2}}$

Raise $4$ to the power of $2$ .

$\frac{\frac{3}{2} - \frac{7}{2} + 2 (3 + 16)}{\frac{1}{2}}$

Add $3$ and $16$ .

$\frac{\frac{3}{2} - \frac{7}{2} + 2 \cdot 19}{\frac{1}{2}}$

Multiply $2$ by $19$ .

$\frac{\frac{3}{2} - \frac{7}{2} + 38}{\frac{1}{2}}$

Combine fractions.

Combine the numerators over the common denominator.

$\frac{38 + \frac{3 - 7}{2}}{\frac{1}{2}}$

Simplify the expression.

Subtract $7$ from $3$ .

$\frac{38 + \frac{- 4}{2}}{\frac{1}{2}}$

Divide $- 4$ by $2$ .

$\frac{38 - 2}{\frac{1}{2}}$

Subtract $2$ from $38$ .

$\frac{36}{\frac{1}{2}}$

Multiply the numerator by the reciprocal of the denominator.

$36 \cdot 2$

Multiply $36$ by $2$ .

$72$

Find the Exact Value 3- square root of 49+(2(3+4^2))÷(1/2)

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