Simplify ( square root of 2- square root of 3)( square root of 8+ square root of 7)

Math
(2-3)(8+7)
Simplify each term.
Tap for more steps…
Rewrite 8 as 22⋅2.
Tap for more steps…
Factor 4 out of 8.
(2-3)(4(2)+7)
Rewrite 4 as 22.
(2-3)(22⋅2+7)
(2-3)(22⋅2+7)
Pull terms out from under the radical.
(2-3)(22+7)
(2-3)(22+7)
Expand (2-3)(22+7) using the FOIL Method.
Tap for more steps…
Apply the distributive property.
2(22+7)-3(22+7)
Apply the distributive property.
2(22)+27-3(22+7)
Apply the distributive property.
2(22)+27-3(22)-37
2(22)+27-3(22)-37
Simplify each term.
Tap for more steps…
Multiply 2(22).
Tap for more steps…
Raise 2 to the power of 1.
2(212)+27-3(22)-37
Raise 2 to the power of 1.
2(2121)+27-3(22)-37
Use the power rule aman=am+n to combine exponents.
221+1+27-3(22)-37
Add 1 and 1.
222+27-3(22)-37
222+27-3(22)-37
Rewrite 22 as 2.
Tap for more steps…
Use axn=axn to rewrite 2 as 212.
2(212)2+27-3(22)-37
Apply the power rule and multiply exponents, (am)n=amn.
2⋅212⋅2+27-3(22)-37
Combine 12 and 2.
2⋅222+27-3(22)-37
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
2⋅222+27-3(22)-37
Divide 1 by 1.
2⋅21+27-3(22)-37
2⋅21+27-3(22)-37
Evaluate the exponent.
2⋅2+27-3(22)-37
2⋅2+27-3(22)-37
Multiply 2 by 2.
4+27-3(22)-37
Combine using the product rule for radicals.
4+2⋅7-3(22)-37
Multiply 2 by 7.
4+14-3(22)-37
Multiply -3(22).
Tap for more steps…
Multiply 2 by -1.
4+14-232-37
Combine using the product rule for radicals.
4+14-22⋅3-37
Multiply 2 by 3.
4+14-26-37
4+14-26-37
Multiply -37.
Tap for more steps…
Combine using the product rule for radicals.
4+14-26-7⋅3
Multiply 7 by 3.
4+14-26-21
4+14-26-21
4+14-26-21
The result can be shown in multiple forms.
Exact Form:
4+14-26-21
Decimal Form:
-1.73989779…
Simplify ( square root of 2- square root of 3)( square root of 8+ square root of 7)

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top