What is simplify-5sqrt(160)-10sqrt(160) ?

The solution to simplify-5sqrt(160)-10sqrt(160) is -60sqrt(10)

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simplify-5sqrt(160)-10sqrt(160)

simplify

- 5160 - 10160

- 6010

Solution steps

- 5160 - 10160

Add similar elements:

- 5160 - 10160 = - 15160

= - 15160

Prime factorization of

160 : 2^{5} \cdot 5

= - 15 2^{5} \cdot 5

Apply exponent rule:

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

2^{5} \cdot 5 = 2^{4} \cdot 2 \cdot 5

= - 15 2^{4} \cdot 2 \cdot 5

Apply radical rule:

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

2^{4} \cdot 2 \cdot 5 = 2^{4} 2 \cdot 5

= - 15 2^{4} 2 \cdot 5

2^{4} = 4

= - 15 \cdot 4 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= - 15 \cdot 410

Multiply the numbers:

- 15 \cdot 4 = - 60

= - 6010

r - 6 \geq 45

\frac{x}{3} - \frac{x}{5} = 2

\frac{1 - x}{4} = 8

- 4 p^{2} + 8000 p = 0

\frac{( 2 x ^{2} y ^{0} ) ^{3}}{x ^{3}}

What is simplify-5sqrt(160)-10sqrt(160) ?
The solution to simplify-5sqrt(160)-10sqrt(160) is -60sqrt(10)