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Popular >

simplify sqrt(152)

Solution

simplify

152

Solution

238

+1

Decimal Notation

12.32882 \dots

Solution steps

152

Prime factorization of

152 : 2^{3} \cdot 19

= 2^{3} \cdot 19

Apply exponent rule:

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

2^{3} \cdot 19 = 2^{2} \cdot 2 \cdot 19

= 2^{2} \cdot 2 \cdot 19

Apply radical rule:

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

2^{2} \cdot 2 \cdot 19 = 2^{2} 2 \cdot 19

= 2^{2} 2 \cdot 19

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 19

Multiply the numbers:

2 \cdot 19 = 38

= 238

Popular Examples

factor 9y^2+12y+4 factor

9 y^{2} + 12 y + 4

∣ 2 x + 1 ∣ > 2

simplify (4+sqrt(12))/2 simplify

\frac{4 + 12}{2}

(7x+4)/3 =(5x+3)/4

\frac{7 x + 4}{3} = \frac{5 x + 3}{4}

10-2x+9x=8+7x+1

10 - 2 x + 9 x = 8 + 7 x + 1

Frequently Asked Questions (FAQ)

What is sqrt(152) ?
The solution to sqrt(152) is 2sqrt(38)