simplify 60^{1/2}

Solution

simplify

6 0^{\frac{1}{2}}

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

Decimal Notation

7.74596 \dots

Solution steps

6 0^{\frac{1}{2}}

Prime factorization of

60 : 2^{2} \cdot 3 \cdot 5

= (2^{2} \cdot 3 \cdot 5)^{\frac{1}{2}}

Apply exponent rule:

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

(2^{2} \cdot 3 \cdot 5)^{\frac{1}{2}} = (2^{2})^{\frac{1}{2}} (3 \cdot 5)^{\frac{1}{2}}

= (2^{2})^{\frac{1}{2}} (3 \cdot 5)^{\frac{1}{2}}

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

= 2 (3 \cdot 5)^{\frac{1}{2}}

Multiply the numbers:

3 \cdot 5 = 15

= 2 \cdot 1 5^{\frac{1}{2}}

\frac{2 ( 4 )}{4 + 5}

x^{2} < 2 x + 35

9 y^{2} \cdot (y^{6})^{\frac{5}{3}}

3 z^{2} + 17 z + 18 = 0

12 a^{2} b - 18 a b^{2} - 30 a b^{3}