Question

5 Simplify.
[a]
$\sqrt{ {a}^{2} \times {b}^{4} }$
[b]
$\sqrt{ {12}^{12} }$
[c]
$\sqrt{ {2}^{8} \times {3}^{4} }$
​CAN YOU PLEASE SOLVE THIS PROBLEM BY TELLING ME THE SOLUTION

Answer 1

Answer:

$\mathtt{\huge{\underline{\underline{\red{Solution:-}}}}}$

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(A)

$\sqrt{ {a}^{2} \times {b}^{4} } \\ \\ ↦ \sqrt{ {a}^{2} .{b}^{4} } \\ \\ ↦ \sqrt{ {(a)}^{2} {(b)}^{4} } \\ \\ ↦ \sqrt{ {(a)}^{2} { ({b}^{2}) }^{2} } \\ \\ ↦ \sqrt{ {(a .{b}^{2}) }^{2} } \\ \\↦ \huge{\boxed{\mathfrak\red{\fcolorbox{magenta}{aqua}{ a.b²}}}}$

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(B)

$↦ \sqrt{ {(12)}^{12} } \\ \\ \sqrt{12 \times 12 \times 12 \times 12 \times 12 \times 12 \times 12 \times 12 \times 12\times 12 \times 12} \\ \\ \\ ↦12 \times 12 \times 12 \times 12 \times 12 \times 12 \\ \\ \huge{\boxed{\mathfrak\red{\fcolorbox{magenta}{aqua}{2985984}}}}$

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(C)

$↦ \sqrt{ {2}^{8} \times {3}^{4} } \\ \\ ↦ \sqrt{20736} \\ \\ \huge{\boxed{\mathfrak\red{\fcolorbox{magenta}{aqua}{144}}}}$

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Answer 2

Answer:

Let's find:-

Step-by-step explanation:

$(a) \sqrt{ {a}^{2} } \times {b}^{4} = \sqrt{ {a}^{2} } {b}^{4}$

$(b). \sqrt{ {12}^{12} } = \sqrt{8916100448256}$

$(c).\sqrt{ {2}^{8} } \times {3}^{4} = 1296$