Evaluate square root of 3 4/9*7 8/31

Solve Math

Algebra

$\sqrt{3 \frac{4}{9} \cdot 7 \frac{8}{31}}$

Convert $3 \frac{4}{9}$ to an improper fraction.

Tap for more steps...

A mixed number is an addition of its whole and fractional parts.

$\sqrt{(3 + \frac{4}{9}) \cdot 7 \frac{8}{31}}$

Add $3$ and $\frac{4}{9}$ .

Tap for more steps...

To write $3$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\sqrt{(3 \cdot \frac{9}{9} + \frac{4}{9}) \cdot 7 \frac{8}{31}}$

Combine $3$ and $\frac{9}{9}$ .

$\sqrt{(\frac{3 \cdot 9}{9} + \frac{4}{9}) \cdot 7 \frac{8}{31}}$

Combine the numerators over the common denominator.

$\sqrt{\frac{3 \cdot 9 + 4}{9} \cdot 7 \frac{8}{31}}$

Simplify the numerator.

Tap for more steps...

Multiply $3$ by $9$ .

$\sqrt{\frac{27 + 4}{9} \cdot 7 \frac{8}{31}}$

Add $27$ and $4$ .

$\sqrt{\frac{31}{9} \cdot 7 \frac{8}{31}}$

Convert $7 \frac{8}{31}$ to an improper fraction.

Tap for more steps...

A mixed number is an addition of its whole and fractional parts.

$\sqrt{\frac{31}{9} \cdot (7 + \frac{8}{31})}$

Add $7$ and $\frac{8}{31}$ .

Tap for more steps...

To write $7$ as a fraction with a common denominator, multiply by $\frac{31}{31}$ .

$\sqrt{\frac{31}{9} \cdot (7 \cdot \frac{31}{31} + \frac{8}{31})}$

Combine $7$ and $\frac{31}{31}$ .

$\sqrt{\frac{31}{9} \cdot (\frac{7 \cdot 31}{31} + \frac{8}{31})}$

Combine the numerators over the common denominator.

$\sqrt{\frac{31}{9} \cdot \frac{7 \cdot 31 + 8}{31}}$

Simplify the numerator.

Tap for more steps...

Multiply $7$ by $31$ .

$\sqrt{\frac{31}{9} \cdot \frac{217 + 8}{31}}$

Add $217$ and $8$ .

$\sqrt{\frac{31}{9} \cdot \frac{225}{31}}$

Multiply $\frac{31}{9}$ and $\frac{225}{31}$ .

$\sqrt{\frac{31 \cdot 225}{9 \cdot 31}}$

Reduce the expression $\frac{31 \cdot 225}{9 \cdot 31}$ by cancelling the common factors.

Tap for more steps...

Cancel the common factor.

$\sqrt{\frac{31 \cdot 225}{9 \cdot 31}}$

Rewrite the expression.

$\sqrt{\frac{225}{9}}$

Simplify the expression.

Tap for more steps...

Divide $225$ by $9$ .

$\sqrt{25}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

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

$5$

Do you know how to Evaluate square root of 3 4/9*7 8/31? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Calculate the Square Root square root of 13

Evaluate 9^(3/2)

Solve Using the Quadratic Formula x^2+x-1=0

Evaluate cube root of 72

Evaluate 36/4