Question

Square root of a²-b²

Answer 1

Answer:

a-b is a square root

i hope this is help u

Answer 2

$\sqrt{a^2-b^2}$ cannot be simplified unless given a substitution for a and b.

• Suppose we try to find a 'simpler' expression  $\sqrt{a^2+b^2}$
• Such an expression would have to involve square roots, nth roots, or fractional exponents somewhere along the way.
• Hayden's example  $\sqrt{6^2+6^2}$shows this, but let's go simpler
• If a=1  and b=1 then  $\sqrt{a^2+b^2}$=$\sqrt{2}$
• $\sqrt{2}$ is irrational.
• So if putting a and b into our more straightforward expression only involved addition, subtraction, multiplication, and division of terms with rational coefficients then we would not be able to produce $\sqrt{2}$.

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