What is the value of -125 - -512-216-49 -

We know that √(125)=√(5×5×5)=5, √(512)=√(8×8×8)=8, √(215)=√(2×2×2×3×3×3)=2×3=6, And, √(49)=√(7×7)=7, Now, by putting all the values, nbsp; 5+8/6+7=13/13=1 ...

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Byju's Answer

Standard IX

Mathematics

Expanding a Rational Number Using Powers

What is the v...

Question

What is the value of $\frac{\sqrt[3]{125} + \sqrt[3]{512}}{\sqrt[3]{216} + \sqrt[2]{49}}$ ?

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Solution

The correct option is A 1
We know that $\sqrt[3]{125} = \sqrt[3]{5 \times 5 \times 5} = 5$ ,
$\sqrt[3]{512} = \sqrt[3]{8 \times 8 \times 8} = 8$ ,
$\sqrt[3]{215} = \sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3} = 2 \times 3 = 6$ ,
And,
$\sqrt[2]{49} = \sqrt[2]{7 \times 7} = 7$ ,
Now, by putting all the values,
$⟹ \frac{5 + 8}{6 + 7} = \frac{13}{13} = 1$

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Similar questions

Q. What is the value of

\frac{\sqrt[3]{125} + \sqrt[3]{512}}{\sqrt[3]{216} + \sqrt[2]{49}}

Q. Simplify:

\frac{\sqrt[3]{512} - \sqrt[3]{216}}{\sqrt[3]{125} - \sqrt[3]{64}}

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What is the value of 3√125+3√5123√216+2√49 ?

The correct option is A 1We know that 3√125=3√5×5×5=5, 3√512=3√8×8×8=8, 3√215=3√2×2×2×3×3×3=2×3=6, And, 2√49=2√7×7=7, Now, by putting all the values, ⟹5+86+7=1313=1

What is the value of $\frac{\sqrt[3]{125} + \sqrt[3]{512}}{\sqrt[3]{216} + \sqrt[2]{49}}$ ?