What is sqrt(3)(sqrt(7)-sqrt(175)) ?

The solution to sqrt(3)(sqrt(7)-sqrt(175)) is -4sqrt(21)

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simplify sqrt(3)(sqrt(7)-sqrt(175))

simplify

3 (7 - 175)

- 421

Decimal Notation

- 18.33030 \dots

Solution steps

3 (7 - 175)

7 - 175 = - 47

= 3 (- 47)

Apply rule:

a (- b) = - ab

3 (- 47) = - 3 \cdot 47

= - 3 \cdot 47

Apply radical rule:

a b = ab, a \geq 0, b \geq 0

37 = 3 \cdot 7

= - 3 \cdot 7 \cdot 4

Multiply the numbers:

3 \cdot 7 = 21

= - 21 \cdot 4

= - 421

7 9^{2}

(\frac{27 x ^{3}}{64})^{\frac{2}{3}}

\frac{- 46 + 54 i}{- 5 - 7 i}

\frac{2 x - 1}{x + 3} + \frac{1 - x}{x + 3}

(2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

What is sqrt(3)(sqrt(7)-sqrt(175)) ?
The solution to sqrt(3)(sqrt(7)-sqrt(175)) is -4sqrt(21)