sqrt{3^2*5^2}=sqrt{3^2}sqrt{5^2} eching

$$\sqrt { 3 ^ { 2 } \times 5 ^ { 2 } } = \sqrt { 3 ^ { 2 } } \sqrt { 5 ^ { 2 } }$$

Tasdiqlamoq

Yechim qadamlari

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\sqrt{9\times 5^{2}}=\sqrt{3^{2}}\sqrt{5^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\sqrt{9\times 25}=\sqrt{3^{2}}\sqrt{5^{2}}$$

225 hosil qilish uchun 9 va 25 ni ko'paytirish.

$$\sqrt{225}=\sqrt{3^{2}}\sqrt{5^{2}}$$

225 ning kvadrat ildizini hisoblab, 15 natijaga ega bo‘ling.

$$15=\sqrt{3^{2}}\sqrt{5^{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$15=\sqrt{9}\sqrt{5^{2}}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$15=3\sqrt{5^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$15=3\sqrt{25}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$15=3\times 5$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$15=15$$

15 va 15 ni taqqoslang.

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