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Popular >

simplify sqrt(312)

Solution

simplify

312

Solution

278

+1

Decimal Notation

17.66352 \dots

Solution steps

312

Prime factorization of

312 : 2^{3} \cdot 3 \cdot 13

= 2^{3} \cdot 3 \cdot 13

Apply exponent rule:

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

2^{3} \cdot 3 \cdot 13 = 2^{2} \cdot 2 \cdot 3 \cdot 13

= 2^{2} \cdot 2 \cdot 3 \cdot 13

Apply radical rule:

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

2^{2} \cdot 2 \cdot 3 \cdot 13 = 2^{2} 2 \cdot 3 \cdot 13

= 2^{2} 2 \cdot 3 \cdot 13

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 \cdot 13

Multiply the numbers:

2 \cdot 3 \cdot 13 = 78

= 278

Popular Examples

x^{2} - 175 = 0

factor 3c^2-14c+8 factor

3 c^{2} - 14 c + 8

factor sqrt((x^2-1)/(y^2-1))factor

\frac{x ^{2} - 1}{y ^{2} - 1}

simplify-8+344/23 simplify

- 8 + \frac{344}{23}

4 x^{2} + 25 x - 21 = 0

Frequently Asked Questions (FAQ)

What is sqrt(312) ?
The solution to sqrt(312) is 2sqrt(78)