What is simplify-3sqrt(75) ?

The solution to simplify-3sqrt(75) is -15sqrt(3)

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simplify-3sqrt(75)

simplify

- 375

- 153

Decimal Notation

- 25.98076 \dots

Solution steps

- 375

Prime factorization of

75 : 3 \cdot 5^{2}

= - 3 3 \cdot 5^{2}

Apply radical rule:

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

3 \cdot 5^{2} = 3 5^{2}

= - 33 5^{2}

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= - 33 \cdot 5

Multiply the numbers:

- 3 \cdot 5 = - 15

= - 153

\frac{3}{4} \times (- 4)

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