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Popular Algebra >

Calculate the Square Root square root of 136

Solution

simplify

136

Solution

4 2^{3} 417

+1

Decimal

3.41495 \dots

Solution steps

136

136 = 234

= 234

Apply radical rule:

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

234 = 234

= 234

34 = 434

= 2434

Factor integer

34 = 2 \cdot 17

= 2 4 2 \cdot 17

Apply radical rule:

n ab = n a n b

4 2 \cdot 17 = 42417

= 242417

Apply exponent rule:

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

242 = 2^{\frac{1}{2}} \cdot 2^{\frac{1}{4}} = 2^{\frac{1}{2} + \frac{1}{4}}

= 2^{\frac{1}{2} + \frac{1}{4}} 417

2^{\frac{1}{2} + \frac{1}{4}} = 2^{\frac{3}{4}}

= 2^{\frac{3}{4}} 417

2^{\frac{3}{4}} = 4 2^{3}

= 4 2^{3} 417

Popular Examples

Solve for x 6^x>80 solve for

x, 6^{x} > 80

Evaluate 10^99999999999999999 simplify

1 0^{1.0 E 17}

Solve for x 8^x=20 solve for

x, 8^{x} = 20

Solve for x 2x+3=15 solve for

x, 2 x + 3 = 15

Simplify (3x)/3 simplify

\frac{( 3 x )}{3}

Frequently Asked Questions (FAQ)

What is simplify sqrt(\sqrt{136)} ?
The solution to simplify sqrt(\sqrt{136)} is \sqrt[4]{2^3}\sqrt[4]{17}

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