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3 years ago

2) simplify the expression completely assume (x > 0)

Mathematics

1 answer:

Sati [7]3 years ago

6 0

Answer:

Step-by-step explanation:

the 2 square root terms can be combined under one large square root.

and the general multiplication factor of 2 remains on the outside.

2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =

2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)

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Read 2 more answers

ASAP! Simplify -5 - square root -44

Tju [1.3M]

Answer:

$\boldmath-5-2i\sqrt{\boldmath11}$

Step-by-step explanation:

The not simplified form is $-5-\sqrt{-44}$

you know that $\sqrt{a\times b} = \sqrt{a} \times\sqrt{b}$ is true a and b are both positive or one of it is negative (not both of them).

You can write -44 as -1 × 4 × 11 inside square root.

So, $\sqrt{-44} = \sqrt{-1\times4\times11}=\sqrt{-1}\times\sqrt{4}\times\sqrt{11}=i\times2\times\sqrt{11}$ ( $\sqrt{4}=2$ )

$\therefore -5-\sqrt{-44} = -5-2i\sqrt{11}$

(NOTE : You must know that $\boldmath\sqrt{\boldmath-1}$ is written as $\boldsymbol i$ )

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