Simplify 8 square root of 5*( square root of 10+ square root of 5)

Math
Apply the distributive property.
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
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Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify 8 square root of 5*( square root of 10+ square root of 5)
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