Question

evaluate 3√8×125 with explanation​

Answer 1

Aɴꜱᴡᴇʀ

$\huge\sf 750 \sqrt{2}$

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Gɪᴠᴇɴ

$\large \sf {}3 \sqrt{8} \times 125$

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ᴛᴏ ꜰɪɴᴅ

its simplified form?

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Sᴛᴇᴘꜱ

$\large \sf {}3 \sqrt{8} \times 125 \\ \\ \large \sf if \: we \: take \: the \: factors \: of \: \sqrt{8} \: we \: get \: 2 \times 2 \times 2 \\ \\ \large \sf{}so \: taking \: 2 \: as \: common \: we \: get \: \\ \\ \large \sf{}3 \times 2 \sqrt{2} \times 125 \\ \\ \large \sf{}6 \sqrt{2} \times 125 \\ \\ \large \sf{} \implies750 \sqrt{2} is \:y our \: answer$

Note:-

• $\large \sf{}do \: not \: try \: to \: take \:125 \: as \: {5}^{3} and \: cancel \: the \: root$
• While taking the common out you have to take a pair out and not a single number

• If there is no pair there then don't take anything as common

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$

Answer 2

Answer:

$\: to \: evaluate \: \: \: \\ 3 \sqrt{8} \times 125 \\ we \: know \: 125 = 5 {}^{3} \\ so \: 3 \sqrt{8} \times 5 {}^{3} \\ and \: \sqrt{8} = (2 \sqrt{2} {}^{} ) {}^{2} \\ so \: \: so \: 3 \times 2 \sqrt{2 \times 5 { }^{3} } = 750√2$