What is simplify-sqrt(189) ?

The solution to simplify-sqrt(189) is -3sqrt(21)

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simplify-sqrt(189)

simplify

- 189

- 321

Decimal Notation

- 13.74772 \dots

Solution steps

- 189

Prime factorization of

189 : 3^{3} \cdot 7

= - 3^{3} \cdot 7

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{3} \cdot 7 = 3^{2} \cdot 3 \cdot 7

= - 3^{2} \cdot 3 \cdot 7

Apply radical rule:

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

3^{2} \cdot 3 \cdot 7 = 3^{2} 3 \cdot 7

= - 3^{2} 3 \cdot 7

Apply radical rule:

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

3^{2} = 3

= - 3 3 \cdot 7

Multiply the numbers:

3 \cdot 7 = 21

= - 321

(b - 7) (b + 7)

2 s t^{2} - s^{2}

9 + 5 (4 x + 4)

(a^{- 2} + a^{- 3})^{- 1}

\frac{a ^{2} + ab}{a ^{2} - b ^{2}}