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Popular >

simplify sqrt(1372)

Solution

simplify

1372

Solution

147

+1

Decimal Notation

37.04051 \dots

Solution steps

1372

Prime factorization of

1372 : 2^{2} \cdot 7^{3}

= 2^{2} \cdot 7^{3}

Apply exponent rule:

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

2^{2} \cdot 7^{3} = 2^{2} \cdot 7^{2} \cdot 7

= 2^{2} \cdot 7^{2} \cdot 7

2^{2} \cdot 7^{2} \cdot 7 = 2^{2} 7^{2} 7

= 2^{2} 7^{2} 7

Apply radical rule:

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

2^{2} = 2

= 2 7^{2} 7

Apply radical rule:

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

7^{2} = 7

= 2 \cdot 77

Multiply the numbers:

2 \cdot 7 = 14

= 147

Popular Examples

factor 2x^3-x^2+9 factor

2 x^{3} - x^{2} + 9

factor 2x^3-x^2-1 factor

2 x^{3} - x^{2} - 1

\frac{2}{5} \div \frac{1}{30}

expand (x-3)(5x+12)expand

(x - 3) (5 x + 12)

simplify 6/7 \times 3 simplify

\frac{6}{7} \times 3

Frequently Asked Questions (FAQ)

What is sqrt(1372) ?
The solution to sqrt(1372) is 14sqrt(7)