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Popular >

simplify 56^{1/2}

Solution

simplify

5 6^{\frac{1}{2}}

Solution

2 \cdot 1 4^{\frac{1}{2}}

+1

Decimal Notation

7.48331 \dots

Solution steps

5 6^{\frac{1}{2}}

Prime factorization of

56 : 2^{3} \cdot 7

= (2^{3} \cdot 7)^{\frac{1}{2}}

Apply exponent rule:

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

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

= (2^{2} \cdot 2 \cdot 7)^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2^{2} \cdot 2 \cdot 7)^{\frac{1}{2}} = (2^{2})^{\frac{1}{2}} (2 \cdot 7)^{\frac{1}{2}}

= (2^{2})^{\frac{1}{2}} (2 \cdot 7)^{\frac{1}{2}}

(2^{2})^{\frac{1}{2}} = 2

= 2 (2 \cdot 7)^{\frac{1}{2}}

Multiply the numbers:

2 \cdot 7 = 14

= 2 \cdot 1 4^{\frac{1}{2}}

Popular Examples

4 x^{2} - 2 x - 6 = 0

simplify-0.6(4)^2+4.8(4)simplify

- 0.6 (4)^{2} + 4.8 (4)

- 8 (x - 8) = 4 (x + 4)

simplify 12/6+2 simplify

\frac{12}{6} + 2

(x - 3)^{2} = - 16

Frequently Asked Questions (FAQ)

What is 56^{1/2} ?
The solution to 56^{1/2} is 2*14^{1/2}