Question

Write 4√11^5 without radicals

Answer 1

Answer:

There are 2 forms of answers:

$\boxed{\boxed{\sf484\sqrt{11}~and~1605.246398532}}$

Solution Steps:

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1.) Calculate 11 to the power of 5:

• $11^5=161051$

Equation at the end of Step 1:

• $4\sqrt{161051}$

2.) Factor $161051=121^2$ × $11$:

• Rewrite the square root of the product 161051: $\sqrt{121^2*11}$

• Rewrite the square root as products or square roots:$\sqrt{121^2*11}=\sqrt{121^2} \sqrt{11}$

• Take the square root of $121^2$: $\sqrt{121^2}=121$

Equation at the end of Step 2:

• $4$ × $121\sqrt{11}$

3.) Multiply 4 and 121:

• $4$ × $121=484$

Equation at the end of Step 3:

• $484\sqrt{11}$

4.) Turn the radical into a decimal:

• $484\sqrt{11}$ ≈ $1605.246398532$

(This is an optional step, if you need the decimal form instead of the radical form.)

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