What is 5sqrt(14z^2)*4sqrt(21z^3) ?

The solution to 5sqrt(14z^2)*4sqrt(21z^3) is 140sqrt(6)z^2sqrt(z)

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simplify 5sqrt(14z^2)*4sqrt(21z^3)

simplify

5 14 z^{2} \cdot 4 21 z^{3}

1406 z^{2} z

Solution steps

5 14 z^{2} \cdot 4 21 z^{3}

Simplify

14 z^{2} : 14 z

= 514 z \cdot 4 21 z^{3}

Simplify

21 z^{3} : 21 z z

= 514 z \cdot 421 z z

14 = 72

= 572 z \cdot 421 z z

21 = 73

= 572 z \cdot 473 z z

Apply radical rule:

a a = a, a \geq 0

77 = 7

= 5 \cdot 72 z \cdot 43 z z

23 = 6

= 5 \cdot 76 z \cdot 4 z z

Multiply the numbers:

5 \cdot 7 \cdot 4 = 140

= 1406 zz z

Apply exponent rule:

aa = a^{2}

zz = z^{2}

= 1406 z^{2} z

- 5 (x + 2) + 5 (x - 5)

\frac{x ^{2} - 16}{x ^{2} + 9 x + 20} \cdot \frac{x + 5}{x ^{2} - 7 x + 12}

(4^{5})^{3}

\frac{6 m ^{3} - 18 m ^{2} - 24 m}{15 m - 9 m ^{2}}

100 x^{2} - 49

What is 5sqrt(14z^2)*4sqrt(21z^3) ?
The solution to 5sqrt(14z^2)*4sqrt(21z^3) is 140sqrt(6)z^2sqrt(z)