What is 3*10sqrt(40) ?

The solution to 3*10sqrt(40) is 60sqrt(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3*10sqrt(40)

simplify

3 \cdot 1040

6010

Decimal Notation

189.73665 \dots

Solution steps

3 \cdot 1040

Prime factorization of

40 : 2^{3} \cdot 5

= 3 \cdot 10 2^{3} \cdot 5

Apply exponent rule:

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

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

= 3 \cdot 10 2^{2} \cdot 2 \cdot 5

Apply radical rule:

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

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

= 3 \cdot 10 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 3 \cdot 10 \cdot 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 3 \cdot 10 \cdot 210

Multiply the numbers:

3 \cdot 10 \cdot 2 = 60

= 6010

\frac{- 2 + 5}{2}

24 a^{5} b^{4}

\frac{x ^{5} \cdot x ^{3}}{x ^{4}}

q + 10 q + 4 q