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Popular >

simplify sqrt(480)

Solution

simplify

480

Solution

430

+1

Decimal Notation

21.90890 \dots

Solution steps

480

Prime factorization of

480 : 2^{5} \cdot 3 \cdot 5

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

Apply exponent rule:

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

2^{5} \cdot 3 \cdot 5 = 2^{4} \cdot 2 \cdot 3 \cdot 5

= 2^{4} \cdot 2 \cdot 3 \cdot 5

Apply radical rule:

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

2^{4} \cdot 2 \cdot 3 \cdot 5 = 2^{4} 2 \cdot 3 \cdot 5

= 2^{4} 2 \cdot 3 \cdot 5

2^{4} = 4

= 4 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 430

Popular Examples

6x^2-10x+8=3x+6

6 x^{2} - 10 x + 8 = 3 x + 6

2/5-7/2 x+1/2 (x+1/3)=-5/2+x

\frac{2}{5} - \frac{7}{2} x + \frac{1}{2} (x + \frac{1}{3}) = - \frac{5}{2} + x

factor 6n^6+18n^4-24n factor

6 n^{6} + 18 n^{4} - 24 n

simplify-(2/3)^2 simplify

- (\frac{2}{3})^{2}

-7=(5x-24)/(-3)

- 7 = \frac{5 x - 24}{- 3}

Frequently Asked Questions (FAQ)

What is sqrt(480) ?
The solution to sqrt(480) is 4sqrt(30)