Question

Simplify (4 route 3 - 3 route 5)the whole square

Answer 1

The answer to this question is attached to this article I hope it helps

Answer 2

Question: Simplify: $(4\sqrt{3} -3\sqrt{5} )^2$

Answer:

The simplified answer of the given expression is $93-24\sqrt{15}$.

Step-by-step explanation:

Recall the identity or formula,

$(a-b)^2=a^2+b^2-2ab$ . . . . . (1)

Given:-

The expression is $(4\sqrt{3} -3\sqrt{5} )^2$.

To find:-

The simplified value of $(4\sqrt{3} -3\sqrt{5} )^2$.

Step 1 of 1

Consider the given expression as follows:

$(4\sqrt{3} -3\sqrt{5} )^2$

Here, let us assume $a=4\sqrt{3}$ and $b=3\sqrt{5}$.

Now,

Substitute the values $4\sqrt{3}$ for $a$ and $3\sqrt{5}$ for $b$ in the identity (1) as follows:

$(4\sqrt{3} -3\sqrt{5})^2=(4\sqrt{3})^2+(3\sqrt{5})^2-2(4\sqrt{3})(3\sqrt{5})$

Further, simplify the right-hand side as follows:

⇒ $(16\times3)+(9\times5)-24\sqrt{3}\sqrt{5}$ (Since $(\sqrt{x})^2 = x$)

⇒ 48 + 45 - 24$\sqrt{3\times5}$

⇒ 93 - 24$\sqrt{15}$

we get,

$(4\sqrt{3} -3\sqrt{5} )^2=93-24\sqrt{15}$

Final answer: The simplified value of the given expression is $93-24\sqrt{15}$.

#SPJ3