Evaluate: 4sqrt(2) * 7sqrt(32)

Expression: $4\sqrt{ 2 } \times 7\sqrt{ 32 }$

Simplify the radical expression

$4\sqrt{ 2 } \times 7 \times {2}^{2}\sqrt{ 2 }$

Write the number in exponential form with the base of $2$

${2}^{2}\sqrt{ 2 } \times 7 \times {2}^{2}\sqrt{ 2 }$

When a square root of an expression is multiplied by itself, the result is that expression

${2}^{2} \times 2 \times 7 \times {2}^{2}$

Calculate the product

$7 \times {2}^{5}$

Evaluate the power

$7 \times 32$

Multiply the numbers

$224$