# Solve for h h = square root of (703*262)/15

h=703⋅26215
Multiply 703 by 262.
h=18418615
Rewrite 18418615 as 18418615.
h=18418615
Multiply 18418615 by 1515.
h=18418615⋅1515
Combine and simplify the denominator.
Multiply 18418615 and 1515.
h=184186151515
Raise 15 to the power of 1.
h=1841861515115
Raise 15 to the power of 1.
h=18418615151151
Use the power rule aman=am+n to combine exponents.
h=18418615151+1
Add 1 and 1.
h=18418615152
Rewrite 152 as 15.
Use axn=axn to rewrite 15 as 1512.
h=18418615(1512)2
Apply the power rule and multiply exponents, (am)n=amn.
h=184186151512⋅2
Combine 12 and 2.
h=184186151522
Cancel the common factor of 2.
Cancel the common factor.
h=184186151522
Divide 1 by 1.
h=18418615151
h=18418615151
Evaluate the exponent.
h=1841861515
h=1841861515
h=1841861515
Simplify the numerator.
Combine using the product rule for radicals.
h=184186⋅1515
Multiply 184186 by 15.
h=276279015
h=276279015
The result can be shown in multiple forms.
Exact Form:
h=276279015
Decimal Form:
h=110.81095012…
Solve for h h = square root of (703*262)/15

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