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What is $5 \sqrt{- 64} + 4 \sqrt{4}$ $5sqrt(-64) + 4sqrt4$ ?

1 Answer

Jun 25, 2018

$8 (5 i + 1)$ $color(blue)(8(5i+1))$

Explanation:

Note that $\sqrt{- 64}$ $sqrt(-64)$ can only be evaluated as a complex number: $i \sqrt{64}$ $isqrt(64)$

$5 \sqrt{- 64} + 4 \sqrt{4}$ $5sqrt(-64)+4sqrt(4)$

$XXX = 5 i \sqrt{64} + 4 \sqrt{4}$ $color(white)("XXX")=5isqrt(64)+4sqrt(4)$

$XXX = 5 i \cdot 8 + 4 \cdot 2$ $color(white)("XXX")=5i * 8 + 4*2$

$XXX = 5 i \cdot 8 + 8$ $color(white)("XXX")=5i * 8 +8$

$XXX = 8 (5 i + 1)$ $color(white)("XXX")=8(5i+1)$

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